VII - link.springer.com978-0-387-21791-8/1.pdf · 540 Curriculum Vitae: J.E.Marsden Ordway Scholar, University of Minnesota, 1991 Fairchild Fellow, Caltech, 1992 Redman Lectures,

VII

Jerrold Marsden, 1942–

Curriculum Vitae

Personal Data1942, August 17 Born in Ocean falls, British Columbia, Canada1965 B.Sc., University of Toronto1968 Ph.D., Princeton University (Arthur Wightman, advisor)1968–1995 Lecturer–Professor, University of California, Berkeley1970–1971 Visiting Professor, University of Toronto1971, June Visiting Researcher, Institute for Advanced Study,

Princeton1972, Spring Visiting Researcher, Institut des Hautes Etudes

Scientifiques1975, Spring Visiting Professor, University of Toronto

1975, May–June Professeur d’Echange, Universite de Paris VI1977, Spring Carnegie Fellow, Heriot-Watt University

1979, May Professeur d’Echange, Universite de Paris VI1979, Fall Killam Visiting Scholar, University of Calgary1981–1982 Miller Research Professor, University of California,

Berkeley1983, Fall Visiting Researcher, Center for Nonlinear Studies,

Los Alamos National Laboratory1984–1986 Director, Research Group in Nonlinear Systems

and Dynamics, UC Berkeley1988–1995 Adjunct Professor of Electrical Engineering

and Computer Science, UC Berkeley1991, Spring Humboldt Senior Scientist, University of Hamburg1991, September Ordway Scholar, University of Minnesota1991–1994 Director, Fields Institute1992, Spring Fairchild Fellow, Caltech1995–present Professor, Control and Dynamical Systems, Caltech1998 August 15–

September 15Distinguished Visiting Scientist, The MathematicalSciences Research Institute (MSRI)

1999, July–October Humboldt Senior Scientist, University of Munich

Awards and Honors

Relativity Essay Contest (with Arthur Fischer), First Prize, 1973Relativity Essay Contest (with Arthur Fischer), Second Prize, 1976Carnegie Fellow Heriot–Watt University, Edinburgh, 1977Jeffrey-Williams Prize, Canadian Mathematical Society, 1982Aisenstadt Lectures, Montreal, 1989–90Humboldt Prize, 1990-91, 1999Norbert Wiener Prize, 1990, AMS–SIAM

539

540 Curriculum Vitae: J. E.Marsden

Ordway Scholar, University of Minnesota, 1991Fairchild Fellow, Caltech, 1992Redman Lectures, McMaster, January, 1993Fellow, Royal Society of Canada, May, 1993Jerrold E.Marsden postdoctoral fellowship named at the Fields Institute, 1994Plenary Lecture, ICIAM, Hamburg, July, 1995Fellow, American Academy of Arts and Science, April, 1997

Max Planck Research Award, 2000

Selected Professional Service

EditorApplied Mathematical Sciences Series, Texts in Applied Mathematics, andInterdisciplinary Applied Mathematics, Springer-Verlag, 1980–present.

Editorial BoardsPhysica D (1985–1990)Journal of Nonlinear Science (1990–present)Journal of Geometry and Physics (1990–present)Dynamics and Stability of Systems (1990–present)Proceedings of the Royal Society of Edinburgh (1990–present),Journal of Mathematical Systems and Control (1990–1995)Mathematica Journal (1990–present)Canadian Journal of Applied Mathematics (1990–present)Journal of Dynamics and Differential Equations (1990–1996)Foundations of Computational Mathematics (1999–present)Journal of Mathematical Physics (1998–present)Journal of Symplectic Geometry (2000–present)

Professional ServiceAmerican Mathematical Society (AMS) Committee on Summer Research

Conferences (1983–86), Chair (1985–1986)NSF Mathematics Advisory Committee (1986–1990)AMS Science Policy Committee (1989–1992)AMS Program Committee (1993–1996)MSRI Advisory Committee (1990–1994)Director, Fields Institute (1990–1994)Scientific Advisory Panel, Fields Institute (1994–1998)Council of the American Mathematical Society (1995–1998)Chair, Scientific Program Committee, ICMS Edinburgh (1998–2000)Board of Trustees, Institute for Pure and Applied Mathematics, UCLA

(1999–present)

Some Research Highlights

Symplectic Reduction Theory. Marsden and Weinstein [30] discoveredsymplectic reduction theory for mechanical systems with symmetry. Thisfar reaching generalization of classical work of Jacobi, Liouville, Routh,Poincare, Arnold, and Smale led to many significant developments in bothmechanics and mathematics. Guillemin and Sternberg describe some ofthese in their 1984 book on “Symplectic Techniques in Physics”, referringto this process as Marsden–Weinstein reduction, a term (aka Marsden–Meyer–Weinstein reduction) in wide use today. The development of thistheory continues with many significant papers, such as semi-direct prod-uct reduction theory in Marsden, Ratiu, and Weinstein [97], geometricphases (Hannay–Berry phases) realized as reconstruction phases in Mars-den, Montgomery, and Ratiu [151] cotangent bundle reduction theory inMarsden and Abraham [294] and Marsden [302] and reduction by stages inMarsden, Misiolek, Perlmutter, and Ratiu [213]. Poisson reduction theory,which has proved useful in certain integrable systems, was developed inMarsden and Ratiu [120]

Lagrangian Reduction Theory. The reduction of variational princi-ples rather than symplectic and Poisson structures is the main theme ofthe Lagrangian counterpart to symplectic reduction. This profound butsimple idea is due to Marsden and Scheurle [171] in which the reducedEuler–Lagrange equations (also called the Lagrange–Poincare equationseven though these equations are not literally in the works of either Lagrangeor Poincare) were discovered. Semi-direct Euler–Poincare theory was dis-covered in Holm, Marsden, and Ratiu [212]. Using the Euler–Poincare the-ory, the averaged Euler equations were discovered in Holm, Marsden, andRatiu [209, 212]. This theory was considerably extended and matured inworks such as Marsden, Ratiu, and Scheurle [245] and Cendra, Marsden,and Ratiu [268]. These equations have attracted much attention, both an-alytical and numerical.

Fluid Mechanics and Plasma Physics. Ebin and Marsden [13], build-ing on the work of Arnold, showed remarkable smoothness and other ana-lytic properties of the Euler equations in Lagrangian representation and, asa consequence, established the first limit of zero viscosity theorem for theNavier–Stokes equations in regions with no boundary. Marsden and Wein-stein [76, 86], used reduction theory to establish the Hamiltonian structureof Eulerian fluid dynamics as well as plasma dynamics (Maxwell–Vlasovequations). Many papers, such as Holm, Marsden, Ratiu, and Weinstein

541

542 Some Research Highlights: J. E.Marsden

[102], explored and developed the Arnold, or energy-Casimir method forfluid and plasma stability. The geometry and analysis of the averaged Eu-ler and Navier–Stokes equations were developed in, for example, Marsden,Ratiu, and Shkoller [251] and Marsden and Shkoller [269].

Relativistic Fields. Combining reduction theory with PDE techniquesand classical field theory, Fischer, Marsden, and Moncrief [69] and Arms,Marsden, and Moncrief [75] showed that in the spatially compact case, thespace of solutions of the Einstein equations has a quadratic singularity ata metric g if and only if g has nontrivial symmetries. This was part of theFischer–Marsden program of “linearization stability” and Hamiltonian andvariational structures for nonlinear problems in classical field theory andgeometry. The initial-value problem was shown to be well-posed in Hughes,Kato, and Marsden [49] and Fischer and Marsden [63]. The Einstein equa-tions were put in FOSH (first order symmetric hyperbolic) form in Fischerand Marsden [21]. The paper of Choquet-Bruhat and Marsden [39] firstproved the local positive mass conjecture using a Morse-theory idea of Billand Desser.

Dynamical Systems in Mechanics. Holmes and Marsden [71] was oneof the first papers to rigorously establish the existence of Smale horse-shoes (and hence chaotic solutions) in a PDE, in this case a forced beamequation. Exponentially small splitting of separatrices was investigated inHolmes, Marsden, and Scheurle [140] and the phenomena of Pattern Evo-cation was discovered in Marsden and Scheurle [189]. In stability theory,building on the Arnold-energy-Casimir method, the creation and develop-ment of the energy-momentum method, especially the block diagonalizationstructures and its application to elastic, fluid and plasma equations was amajor achievement (see Marsden [302] and references therein). The con-verse led to new insights into dissipation induced instabilities in Bloch,Krishnaprasad, Marsden, and Ratiu [173].

Nonlinear Elasticity. Hughes, Kato, and Marsden [49] proved the exis-tence and uniqueness for the initial value problem in nonlinear elasticityand the book Marsden and Hughes [300] laid the geometric foundations ofthe subject, which has had an enormous influence. Ball and Marsden [110]gave a counterexample to the energy criterion for nonlinear elasticity and,in the process discovered quasi-convexity at the boundary. Bifurcations inthe traction problem were investigated in detail in Chillingworth, Mars-den, and Wan [87] and Hamiltonian structures for rods and shells in Simo,Marsden, and Krishnaprasad [139]. Variational methods for elastic collisionalgorithms were developed in Kane, Repetto, Ortiz, and Marsden [229] andPandolfi, Kane, Marsden, and Ortiz [284]

Control Theory. The discovery of the momentum equation for nonholo-nomic systems in Bloch, Krishnaprasad, Marsden, and Murray [195], hasled to deep theoretical as well as practical insight into locomotion gener-

Some Research Highlights: J. E.Marsden 543

ation in the control of mechanical systems. In addition, building on earlywork of Bloch, Krishnaprasad, Marsden, and Sanchez de Alvarez [163],and motivated by work on underwater vehicles in Leonard and Marsden[204], the paper Bloch, Leonard, and Marsden [262] created the stabiliza-tion method of controlled Lagrangians which has already attracted muchattention in the control community. With the collaboration of Chang theCL method was recently shown to be equivalent to the CH (controlledHamiltonian) method, closely related to passivity methods.

Variational Integrators. Variational integrators, based on simple butprofound consequences of Hamilton’s principle and its Veselov-type dis-cretizations are having a significant impact on the numerical integration ofmechanical systems, both conservative and forced/dissipative. The paperMarsden, Patrick, and Shkoller [217] stands out as the most profound byshowing how this theory extends to the PDE context, producing multi-symplectic integration algorithms. A related important discovery in Kane,Marsden, Ortiz, and West [252] is that the Newmark algorithm is varia-tional and hence symplectic. These methods were recently extended to thecontext of asynchronous variational integrators (AVI) in work with Lew,Ortiz, and West.

Dynamical Systems and Space Mission Design. The paper Koon,Lo, Marsden, and Ross [244] extends classical works on the three bodyproblem (due to Conley, McGehee, Simo et. al.) to include situations ofinterest in space mission design, including the Genesis Discovery Mission.Their discovery of new heteroclinic connections and their use to gain a deepunderstanding of ballistic capture by the moon as well as the associateddiscovery of missions to the moons of Jupiter has contributed to these newNASA mission concepts.

Graduate Students,and Post Doctoral Scholars

Ph.D. Students

[ The following entries show the institution granting the degree and the thesis title for

each student, followed by their current location in square brackets. ]

1. Graciela Chichilnisky, Math, UCB, Group actions on spin manifolds,1970. [ Columbia University ]

2. Murray Robert Cantor, Math, UCB, Global analysis over noncompactspaces, 1970. [ Rational Software ]

3. Marjorie McCracken, Math, UCB, The Stokes equations in Lp , 1975.[ Stanford University Medical Center ]

4. Judith Arms, Math, UCB, Linearization stability of coupled gravita-tional and gauge fields, 1977. [ University of Washington ]

5. Gabriel Lugo, Math, UCB, Structure of twistor and H-spaces, 1979.[ University of North Carolina, Wilmington ]

6. Tudor Ratiu, Math, UCB, Euler–Poisson equations on Lie algebras,1980. [ EPFL, Lausanne ]

7. Omar Hijab, Math, UCB, Minimum energy estimation, 1980. [ Temple

University ]

8. Dena Patterson, Math, UCB, Calculus students’ use of visualization,1983.

9. David Bao, Math, UCB, Some aspects in the dynamics of supergrav-ity , 1983. [ University of Houston ]

10. Gloria Sanchez de Alvarez, Math, UCB, Geometric methods of clas-sical mechanics applied to control theory, May, 1986. [ University of

Los Andes, Merida, Venezuela ]

11. Richard Montgomery, Math, UCB, The bundle picture in mechanics,1986. [ University of California, Santa Cruz ]

12. Debra Lewis, Math, UCB, Rotating liquid drops, Hamiltonian struc-ture, bifurcation and stability, 1987. [ University of California, Santa

Cruz ]

13. Andrew Phelps, Math, UCB (co-supervised with A. J. Krener), ASimplification of Nonlinear Observer Theory, 1987

545

546 Graduate Students, and Post Doctoral Scholars: J. E. Marsden

14. Uy Mbanefo, Math, UCB, Mixed boundary-value problems of stresssingularities, 1988. [ Northrop–Grumman ]

15. George Patrick, Math, UCB, The dynamics of coupled rigid bodies,1990. [ University of Saskatchewan ]

16. Mark S. Alber, Math, U. Penn, Geometric phases, geometric asymp-totics, and integrable systems, 1990. [ University of Notre Dame ]

17. Gil Bor, Math, UCB, Non self dual Yang-Mills fields, June, 1991.[ University of Guanajuato ]

18. Shuh-Jye Chern, Math, Cornell, Fluid stability on rotating spheres,1991. [ National Tsing-Hua University, Taiwan ]

19. Robert Fillipini, Math, UCB, The symplectic geometry of the theo-rems of Borel–Weil and Peter–Weyl , May 1995.

20. Neil Getz, EECS, UCB, Control of nonminimum phase systems, Oc-tober, 1995. [ Inversion, Inc. ]

21. Wang-Sang Koon, Math, UCB, Nonholonomic mechanical systems,May, 1997. [ Caltech ]

22. Anthony Blaom, Math, Caltech, Geometric mechanics and Nekhoro-shev estimates, May, 1997.

23. Mathew Perlmutter, Math, UCB, Symplectic reduction by stages,May, 1999. [ University of Lisbon ]

24. Sameer Jalnapurkar, Math, UCB Nonholonomic and Lagrangian con-trol systems, May, 1999. [ IIT, Bangalore ]

25. Chong Ye Xu, Mathematics, UCB, Asymptotic stability for equilibriaof nonlinear semiflows with applications to rotating viscoelastic rods,June, 2000.

26. Sergey Pekarsky, CDS, Caltech, Discrete reduction of mechanical sys-tems and multisymplectic geometry of continuum mechanics, June,2000. [ Moodys Investors Service ]

27. Antonio Hernandez, Math, Caltech, Regularization of the amendedpotential around symmetric points, November, 2001. [ University of

Mexico ]

28. Luz Vianey Vela-Arevelo, CDS, Caltech, Hamiltonian systems in mol-ecular dynamics and frequency analysis, August, 2001. [ Georgia Tech ]

� � �

Graduate Students, and Post Doctoral Scholars: J. E. Marsden 547

Ph.D. Students in Progress (Caltech)

Dong Eui Chang (CDS)Razvan Fetecau (ACM)Anil Hirani (CS)Francois Lekien (CDS)Melvin Leok (CDS)Shane Ross (CDS)Matthew West (CDS)

Masters Students

Thomas J. R. Hughes (SESM), 1974Shankar Sastry (EECS), 1980Fathi A. Salam (EECS), 1982Dave Reilly (Math), 1983Zexiang Li (EECS), 1989Greg P. Heinzinger (EECS), 1990Jeff Wendlandt (ME), 1995

Postdoctoral Fellows

Jim Isenberg, UC Berkeley, 1980–1982Robert Grossman, UC Berkeley, 1986–1988Vivien Kirk, UC Berkeley, 1990–1992Hans-Peter Kruse (Hamburg—Humboldt Award), UC Berkeley, 1992–1994Hassan Gumral (Turkey), UC Berkeley, 1993–1994Brianno Coller, (CDS), Caltech, 1995–1997Steve Shkoller, San Diego and LANL, 1996–1999Greg Luther, (CDS), Caltech, 1997Wang-Sang Koon, (CDS), Caltech, 1998–Sanjay Lall (joint with John Doyle), (CDS), Caltech, 1998–2000Banavara Shashikanth (joint with Richard Murray and Joel Burdick),

(CDS), Caltech, 1998-2000Matt Perlmutter, (CDS), Caltech, 1998–2000Couro Kane, (CDS), Caltech, 1997–2000Scott Kelly, (joint with Richard Murray),

(ME), Caltech, 1998–1999Petr Krysl, (joint with Peter Schroder),

(CS), Caltech, 1998–2001Sameer Jalnapurkar, (CDS), Caltech, 1999–2000Kamran Mohseni, (CDS), Caltech, 2000–2001Sergey Pekarsky, (CDS), Caltech, 2000–2001Chad Coulliette, (CDS), Caltech, 2000–Marcel Clerc, (CDS), Caltech, 2001

Publications

Papers (Chronological)

[ 1965 ]

[1] J. E. Marsden [1965], A theorem on harmonic homologies. Canad.Math.Bull., 8, 375–377.

[ 1966 ]

[2] M. Beattie, J. E. Marsden and R. Sharpe [1966], A universal factorizationtheorem in topology. Canad.Math. Bull., 9 201–207.

[3] M. Beattie, J. E. Marsden and R. Sharpe [1966], Order in finite affine planesCanad.Math. Bull., 9, 407–412.

[ 1967 ]

[4] J. E. Marsden [1967], A correspondence principle for momentum operators.Canad.Math. Bull., 10, 247–250.

[ 1968 ]

[5] J. E. Marsden [1968], Generalized Hamiltonian mechanics. Arch.RationalMech.Anal., 28, 323–361.

[6] J. E. Marsden [1968], Hamiltonian one parameter groups. Arch.RationalMech.Anal., 28, 362–396.

[7] J. E. Marsden [1968], A Banach space of analytic functions for constantcoefficient equations of evolution. Canad.Math. Bull., 11, 599–601.

[8] J. E. Marsden [1968], Countable and net convergence. Amer.Math. Mon-thly, 75, 397–398.

[ 1969 ]

[9] J. E. Marsden [1969], Hamiltonian systems with spin. Canad. Math. Bull.,12, 203–208.

[10] J. E. Marsden [1969], Non smooth geodesic flows and classical mechanics.Canad. Math. Bull., 12, 209–212.

[11] D. G. Ebin and J. E. Marsden [1969], Groups of diffeomorphisms and thesolution of the classical Euler equations for a perfect fluid. Bull. Amer.Math. Soc., 75 962–967.

[ 1970 ]

[12] R. Abraham and J. E. Marsden [1970], Hamiltonian mechanics on Liegroups and hydrodynamics. Proc. Sympos. Pure Math., 16 237–244.

[13] D. G. Ebin and J. E. Marsden [1970], Groups of diffeomorphisms and themotion of an incompressible fluid. Ann. of Math., 92, 102–163.

549

550 Publications: J. E. Marsden

[14] D. G. Ebin and J. E. Marsden [1970], On the motion of incompressiblefluids. Actes Du Congres Intern., 2, 211–214.

[15] J. E. Marsden and A. Weinstein [1970], A comparison theorem for Hamil-tonian vector fields. Proc. Amer. Math. Soc., 26, 629–631.

[16] P. Chernoff and J. E. Marsden [1970], On continuity and smoothness ofgroup actions. Bull. Amer. Math. Soc., 76, 1044–1049.

[ 1972 ]

[17] A. E. Fischer and J. E. Marsden [1972], General relativity as a dynamicalsystem on the manifold A of Riemannian metrics which cover diffeomor-phisms. Lecture Notes in Phys., Springer, 14, 176–188.

[18] J. E. Marsden, D. G. Ebin and A. E. Fischer [1972], Diffeomorphism groups,hydrodynamics and relativity. Proc. of the 13th Biennial Seminar of Cana-dian Mathematical Congress, Montreal, (J. Vanstone, ed.), 135–279.

[19] A. E. Fischer and J. E. Marsden [1972], The Einstein equation of evolution— a geometric approach. J. Math. Phys., 13, 546–568.

[20] J. E. Marsden [1972], Darboux’s theorem fails for weak symplectic forms.Proc. Amer. Math. Soc., 3, 590–592.

[21] A. E. Fischer and J. E. Marsden [1972], The Einstein evolution equationsas a first-order quasi-linear symmetric hyperbolic system, I. Comm. Math.Phys., 28, 1–38.

[ 1973 ]

[22] A. E. Fischer and J. E. Marsden [1973], New theoretical techniques in thestudy of gravity. Gen. Relativity Gravitation, 4, 309–317.

[23] J. E. Marsden [1973], On product formulas for nonlinear semigroups. J.Funct. Anal., 13, 51–72.

[24] J. E. Marsden [1973], On global solutions for nonlinear Hamiltonian evolu-tion equations. Comm. Math. Phys., 30, 79–81.

[25] J. E. Marsden [1973], The Hopf bifurcation for nonlinear semigroups. Bull.Amer. Math. Soc., 79, 537–541.

[26] J. E. Marsden [1973], On completeness of homogeneous pseudo-Riemannianmanifolds. Indiana Univ. Math. J., 22, 1065–1066.

[27] A. E. Fischer and J. E. Marsden [1973], General relativity, partial differ-ential equations, and dynamical systems. Proc. Sympos. Pure Math., 23,309–327.

[28] A. E. Fischer and J. E. Marsden [1973], Linearization stability of the Ein-stein equations. Bull. Amer. Math. Soc., 79, 1065–1066.

[29] J. E. Marsden [1973], A proof of the Calderon extension theorem. Canad.Math. Bull., 16, 133–136.

[ 1974 ]

[30] J. E. Marsden and A. Weinstein [1974], Reduction of symplectic manifoldswith symmetry. Rep. Math. Phys., 5, 121–130.

[31] A. E. Fischer and J. E. Marsden [1974], Manifolds of Riemannian metricswith prescribed scalar curvature. Bull. Amer. Math. Soc., 80, 479–484.

Publications: J. E. Marsden 551

[32] A. E. Fischer and J. E. Marsden [1974], Global analysis and general rela-tivity. Gen. Relativity Gravitation, 5, 73–77.

[33] J. E. Marsden [1974], A formula for the solution of the Navier–Stokes equa-tion based on a method of Chorin. Bull. Amer. Math. Soc., 80, 154–158.

[34] A. E. Fischer and J. E. Marsden [1974], General relativity as a Hamiltoniansystem. Symposia Math. XIV, 193–205.

[35] P. Chernoff and J. E. Marsden [1974], Some basic properties of infinitedimensional Hamiltonian systems. Lecture Notes in Math., Springer, 425,1–160;

[ 1975 ]

[36] A. E. Fischer and J. E. Marsden [1975], Linearization stability of nonlinearpartial equations. Proc. Sympos. Pure Math., 27, 219–263.

[37] A. E. Fischer and J. E. Marsden [1975], Deformations of the scalar curva-ture. Duke Math. J., 42, 519–547.

[38] J. Arms, A. Fischer and J. E. Marsden [1975], Une approche symplectiquepour des theoremes de decomposition en geometrie et relativite general. C.R. Acad. Sci., Paris, 281, 517–520.

[ 1976 ]

[39] Y. Choquet-Bruhat and J. E. Marsden [1976], Sur la positivite de la masse.C. R. Acad. Sci., Paris, 282, 609–612.

[40] Y. Choquet-Bruhat and J. E. Marsden [1976], Solution of the local massproblem in general relativity, Comm. Math. Phys., 51, 283–296.

[41] P. Chernoff and J. E. Marsden [1976], Some basic properties of infinite di-mensional Hamiltonian systems. Colloq. Internat. C.N.R.S., 237, 313–330.

[42] A. E. Fischer and J. E. Marsden [1976], Deformations of nonlinear partialdifferential equations. Colloq. Internat. C.N.R.S., 237, 331–345.

[43] A. E. Fischer and J. E. Marsden [1976], The manifold of conformally equiv-alent metrics. Can. J. Math., 29, 193–209.

[44] Y. Choquet-Bruhat, A. E. Fischer and J. E. Marsden [1976], Equations descontraintes sur une variete non compacte. C. R. Acad. Sci., Paris, 284,975–978.

[45] J.-P. Bourguignon, D. G. Ebin and J. E. Marsden [1976], Sur le noyau desoperateurs pseudo-differentiels a symbole surjectif et non injectif. C. R.Acad. Sci., Paris, 282, 867–870.

[46] J. E. Marsden [1976], Well-posedness of the equations of a non-homo-geneous perfect fluid. Comm. Partial Differential Equations, 1, 215–230.

[47] A. E. Fischer and J. E. Marsden [1976], A new Hamiltonian structure forthe dynamics of general relativity. Gen. Relativity Gravitation, 7, 915–920.


[ 1977 ]

[48] P. Chernoff and J. E. Marsden [1977], Some remarks on Hamiltonian sys-tems and quantum mechanics. in Foundations of probability theory, sta-tistical inference, and statistical theories of science, Proc. Internat. Res.Colloq., Univ. Western Ontario, London, Ont., 1973, III, 35–53; Univ.Western Ontario Ser. Philos. Sci., 6, Reidel, Dordrecht.

[49] T. J. R. Hughes, T. Kato and J. E. Marsden [1977], Well-posed quasi-linearsecond-order hyperbolic systems with applications to nonlinear elastody-namics and general relativity. Arch. Rational Mech. Anal., 63, 273–394.

[50] J. E. Marsden [1977], Attempts to relate the Navier–Stokes equations toturbulence. Lecture Notes in Math., Springer, 615, 1–22.

[51] T. J. R. Hughes and J. E. Marsden [1977], Some applications of geometryin continuum mechanics. Rep. Math. Phys., 12, 35–44.

[ 1978 ]

[52] T. J. R. Hughes and J. E. Marsden [1978], Classical elastodynamics as alinear symmetric hyperbolic system. J. Elast., 8, 97–110.

[53] A. Chorin, T. J. R. Hughes, J. E. Marsden and M. McCracken [1978],Product formulas and numerical algorithms. Comm. Pure Appl. Math., 31,205–256.

[54] P. J. Holmes and J. E. Marsden [1978], Bifurcation to divergence and flutterin flow induced oscillations. Automatica, 14, 367–384.

[55] P. J. Holmes and J. E. Marsden [1978], Bifurcations of dynamical systemsand nonlinear oscillations in engineering systems. Lecture Notes in Math.,Springer, 648, 163–206.

[56] T. J. R. Hughes and J. E. Marsden [1978], Topics in the mathematicalfoundations of elasticity. In Nonlinear Analysis and Mechanics, vol. II,(R. J. Knops, ed.), Pitman Research Notes, 27, 30–285.

[57] J. E. Marsden [1978], Qualitative methods in bifurcation theory. Bull.Amer. Math. Soc., 84, 1125–1148.

[58] J. M. Ball, R. J. Knops and J. E. Marsden [1978], Two examples in non-linear elasticity. Lecture Notes in Math., Springer, 665, 41–49.

[ 1979 ]

[59] J. M. Arms and J. E. Marsden [1979], The absence of Killing fields isnecessary for linearization stability of Einstein’s equations. Indiana Univ.Math. J., 28, 119–125.

[60] P. J. Holmes and J. E. Marsden [1979], Qualitative techniques for bifurca-tion analysis of complex systems. Annals of New York Academy of Sciences,316, 608–622.

[61] A. E. Fischer and J. E. Marsden [1979], Topics in the dynamics of generalrelativity. In Isolated Gravitating Systems in General Relativity, (J. Ehlers,ed.), Italian Physical Society, 322–395.

[62] Y. Choquet-Bruhat, A. E. Fischer, and J. E. Marsden [1979], Maximalhypersurfaces and positivity of mass. In Isolated Gravitating Systems inGeneral Relativity, (J. Ehlers, ed.), Italian Physical Society, 396–456.


[63] A. E. Fischer and J. E. Marsden [1979], The initial value problem and thedynamical formulation of general relativity. In General Relativity, An Ein-stein Centenary Survey, (S. W. Hawking and W. Israel, eds.), CambridgeUniversity Press, 138–211.

[64] J. E. Marsden [1979], On geometry of the Liapunov–Schmidt procedure.Lecture Notes in Math., Springer, 755, 77–82.

[ 1980 ]

[65] P. J. Holmes and J. E. Marsden [1980], Dynamical systems and invariantmanifolds. In New Approaches to Nonlinear Problems in Dynamics, (P.J. Holmes, ed.), SIAM, 1–28.

[66] J. E. Marsden and F. Tipler [1980], Maximal hypersurfaces and foliations ofconstant mean curvature in general relativity. Phys. Reports, 66, 109–139.

[67] A. E. Fischer, J. E. Marsden and V. Moncrief [1980], Symmetry breakingin general relativity. In Essays on General Relativity, (F. J. Tipler, ed.),Academic Press, 79–96.

[68] P. J. Holmes and J. E. Marsden [1980], A horseshoe in the dynamics of aforced beam. Ann. New York Acad. Sci., 357, 313–321.

[69] A. E. Fischer, J. E. Marsden and V. Moncrief [1980], The structure of thespace of solutions of Einstein’s equations, I: One Killing field. Ann. Inst.H. Poincare Phys. Theor., 33, 147–194.

[ 1981 ]

[70] J. M. Arms, J. E. Marsden and V. Moncrief [1981], Symmetry and bifur-cations of momentum mappings. Comm. Math. Phys., 78, 455–478.

[71] P. J. Holmes and J. E. Marsden [1981], A partial differential equation withinfinitely many periodic orbits: Chaotic oscillations of a forced beam. Arch.Rational Mech. Anal., 76, 135–166.

[72] J. E. Marsden [1981], Four applications of nonlinear analysis to physics andengineering. In New Directions in Applied Math, (P. Hilton and G. Young,eds.), 85–107.

[ 1982 ]

[73] P. J. Holmes and J. E. Marsden [1982], Horseshoes in perturbations ofHamiltonian systems with two degrees of freedom. Comm. Math. Phys.,82, 523–544.

[74] J. E. Marsden [1982], Spaces of solutions of relativistic field theories withconstraints. Lecture Notes in Math., Springer, 905, 29–44.

[75] J. M. Arms, J. E. Marsden and V. Moncrief [1982], The structure of thespace of solutions of Einstein’s equations, II: Several Killing fields and theEinstein–Yang Mills equations. Ann. Physics, 144, 81–106.

[76] J. E. Marsden and A. Weinstein [1982], The Hamiltonian structure of theMaxwell–Vlasov equations. Physica D, 4, 394–406.

[77] P. J. Holmes and J. E. Marsden [1982], Melnikov’s method and Arnold dif-fusion for perturbations of integrable Hamiltonian systems. J. Math. Phys.,23, 669–675.


[78] J. E. Marsden [1982], A group theoretic approach to the equations of plasmaphysics. Canad. Math. Bull., 25, 129–142.

[79] J. M. Ball, J. E. Marsden and M. Slemrod [1982], Controllability for dis-tributed bilinear systems. SIAM J. Cont. Opim., 20, 575–597.

[80] J. Isenberg and J. E. Marsden [1982], A slice theorem for the space ofsolutions of Einstein’s equations. Phys. Reports, 89, 179–222.

[81] D. R. J. Chillingworth, J. E. Marsden, and Y. H. Wan [1982], Symmetry andbifurcation in three-dimensional elasticity, I. Arch. Rational Mech. Anal.,80, 295–331.

[ 1983 ]

[82] P. J. Holmes and J. E. Marsden [1983], Horseshoes and Arnold diffusion forHamiltonian systems on Lie groups. Indiana Univ. Math. J., 32, 273–310.

[83] J. E. Marsden [1983], The initial value problem and dynamics of gravi-tational fields. Proc. 9th Internat. Conf. Gen. Relativity and Gravitation115–126.

[84] M. Buchner, J. E. Marsden, and S. Schecter [1983], Applications of theblowing up construction and algebraic geometry to bifurcation problems.J. Differential Equations, 48, 404–433.

[85] J. E. Marsden [1983], Bifurcation and linearization stability in the tractionproblem. In Systems of Nonlinear Partial Differential Equations, (J. M.Ball, ed.), Reidel, 367–372.

[86] J. E. Marsden and A. Weinstein [1983], Coadjoint orbits, vortices and Cleb-sch variables for incompressible fluids. Physica D, 7, 305–323.

[87] D. R. J. Chillingworth, J. E. Marsden and Y. H. Wan [1983], Symmetry andbifurcation in three-dimensional elasticity, II. Arch. Rational Mech. Anal.,83, 363–395.

[88] J. E. Marsden and Y. H. Wan [1983], Linearization stability and Signoriniseries for the traction problems in elastostatics. Proc. Roy. Soc. EdinburghSect. A, 95, 171–180.

[89] D. D. Holm, J. E. Marsden, T. Ratiu and A. Weinstein [1983], Nonlinearstability conditions and a priori estimates for barotropic hydrodynamics.Phys. Letters A, 98, 15–21.

[90] M. Golubitsky and J. E. Marsden [1983], The Morse Lemma in infinitedimensions via singularity theory. SIAM J. Math. Anal., 14, 1037–1044.

[91] M. Buchner, J. E. Marsden, and S. Schecter [1983], Examples for the infinitedimensional Morse Lemma in infinite dimensions. SIAM J. Math. Anal., 14,1045-1055.

[92] J. E. Marsden and Y. H. Wan [1983], Symmetry and bifurcation in threedimensional elasticity, III. Arch. Rational Mech. Anal., 84, 203–233.

[93] J. E. Marsden, A. Weinstein, T. Ratiu, R. Schmid, and R. Spender [1983],Hamiltonian systems with symmetry, coadjoint orbits and plasma physics.Proc. IUTAM–ISIMM Symposium on Modern Developments in AnalyticalMechanics, Atti della Academia della Scienze di Torino, 117, 289–340.


[94] J. E. Marsden, F. M. A. Salam, and P. P. Varaiya [1983], Chaos and Arnolddiffusion in dynamical systems. IEEE Trans. Circuits and Systems, 30,697–708.

[95] J. E. Marsden [1983], Chaotic orbits by Melnikov’s method: A survey ofapplications. Proc. IEEE Conf. on Decision and Control, 22, 356–359.

[96] J. E. Marsden, F. M. A. Salam and P. P. Varaiya [1983b, Arnold diffusionin the dynamics of a four-machine power system undergoing a large fault.Proc. IEEE Conf. on Decision and Control, 22, 1411–1414.

[ 1984 ]

[97] J. E. Marsden, T. Ratiu and A. Weinstein [1984], Semi-direct products andreduction in mechanics. Trans. Amer. Math. Soc., 281, 147–177.

[98] M. Golubitsky, J. E. Marsden and D. Schaeffer [1984], Bifurcation problemswith hidden symmetries. In Partial Differential Equations and DynamicalSystems, (W. Fitzgibbon, ed.), Plenum Press, 181–210.

[99] J. E. Marsden [1984], Hamiltonian structures for the heavy top and plas-mas. In Partial Differential Equations and Dynamical Systems, (W. Fitzgib-bon, ed.), Plenum Press, 259–278.

[100] J. E. Marsden and J. C. Simo [1983], Stress tensors, Riemannian met-rics and the alternative descriptions of elasticity. Lecture Notes in Phys.,Springer, 195, 369–383.

[101] J. E. Marsden, P. Morrison, and A. Weinstein [1984], The Hamiltonianstructure of the BBGKY hierarchy. Contemp. Math., Amer. Math. Soc.,Providence, RI, 28, 115–124.

[102] D. D. Holm, J. E. Marsden, T. Ratiu, and A. Weinstein [1984], Stabilityof rigid body motion using the energy-Casimir method. Contemp. Math.,Amer. Math. Soc., Providence, RI, 28, 15–24.

[103] J. E. Marsden, R. Montgomery and T. Ratiu [1984], Gauged Lie–Poissonstructures. Contemp. Math., Amer. Math. Soc., Providence, RI, 28, 101–114.

[104] J. E. Marsden, T. Ratiu and A. Weinstein [1984], Reduction and Hamil-tonian structures on duals of semidirect product Lie algebras. Contemp.Math., Amer. Math. Soc., Providence, RI, 28, 55–100.

[105] J. E. Marsden and P. Morrison [1984], Noncanonical Hamiltonian field the-ory and reduced MHD. Contemp. Math., Amer. Math. Soc., Providence,RI, 28, 133–150.

[106] H. D. I. Abarbanel, D. D. Holm, J. E. Marsden, and T. Ratiu [1984],Richardson number criterion for the nonlinear stability of three-dimensionalstratified flow. Phys. Rev. Lett., 52, 2352–2355.

[107] J. E. Marsden and J. Scheurle [1984], Bifurcation to quasi-periodic tori inthe interaction of steady state and Hopf bifurcations. SIAM J. Math. Anal.,15, 1055–1074.

[108] J. E. Marsden, F. M. A. Salam, and P. P. Varaiya [1984], Arnold diffusion inthe swing equations of a power system. IEEE Trans. Circuits and Systems,31, 673–688.


[109] J. E. Marsden and J. C. Simo [1984], On the rotated stress tensor andthe material version of the Doyle–Ericksen formula. Arch. Rational Mech.Anal., 86, 213–231.

[110] J. M. Ball and J. E. Marsden [1984], Quasiconvexity, second variations andthe energy criterion in nonlinear elasticity. Arch. Rational Mech. Anal., 86,251–277.

[111] J. Isenberg and J. E. Marsden [1984], The York Map is a canonical trans-formation. J. Geom. Phys., 1, 85–105.

[112] J. E. Marsden [1984], Chaos in dynamical systems by the Poincare–Melnikov–Arnold method. In Chaos in Nonlinear Dynamical Systems, (J.Chandra, ed.), SIAM, 19–31.

[113] J. E. Marsden and J. C. Simo [1984], Stress and Riemannian metrics innonlinear elasticity. MSRI Proc., 2, 173–184.

[114] R. Hazeltine, D. D. Holm, J. E. Marsden and P. Morrison [1984], Gener-alized Poisson brackets and nonlinear Liapunov stability — Application toreduced MHD. Proc. ICPP Conference, Lausanne, 2, 204–209.

[ 1985 ]

[115] D. D. Holm, J. E. Marsden, T. Ratiu, and A. Weinstein [1985], Nonlinearstability of fluid and plasma equilibria. Phys. Reports, 123, 1–116.

[116] D. Bao, J. E. Marsden, and R. Walton [1985], The Hamiltonian structureof general relativistic perfect fluids. Comm. Math. Phys., 99, 319–345.

[117] J. E. Marsden and M. Slemrod [1985], Temporal and spatial chaos in a vander Waals fluid due to periodic thermal fluctuations. Adv. in Appl. Math.,6, 135–158.

[ 1986 ]

[118] D. D. Holm, J. E. Marsden, and T. Ratiu [1986], Nonlinear stability of theKelvin–Stuart cat’s eyes flows. Lectures in Appl. Math, Amer. Math. Soc.,23, part 2, 171–186.

[119] D. Lewis, J. E. Marsden, R. Montgomery, and T. Ratiu [1986], The Hamil-tonian structure for dynamic free boundary problems. Physica D, 18, 391–404.

[120] J. E. Marsden and T. S. Ratiu [1986], Reduction of Poisson manifolds. Lett.Math. Phys., 11, 161–170.

[121] D. D. Holm, J. E. Marsden, and T. Ratiu [1986], The Hamiltonian structureof continuum mechanics in material, inverse material, spatial and convectiverepresentations. Seminaire de Mathematiques superieurs, Les Presses deL’Universite de Montreal, 100, 11–122.

[122] D. Lewis, J. E. Marsden and T. Ratiu [1986], Formal stability of liquiddrops with surface tension. In Perspectives in Nonlinear Dynamics, (M. F.Shlesinger, R. Cawley, A. W. Saenz and W. Zachary, eds.), World Scientific,71–83.

[123] H. D. I. Abarbanel, D. D. Holm, J. E. Marsden and T. S. Ratiu [1986],Nonlinear stability analysis of stratified fluid equilibria. Philos. Trans. Roy.Soc. London Ser. A, 318, 349–409.


[124] J. E. Marsden, R. Montgomery, P. J. Morrison, and W. B. Thompson [1986],Covariant Poisson brackets for classical fields. Ann. Physics, 169, 29–48.

[125] D. Eardley, J. Isenberg, J. E. Marsden and V. Moncrief [1986], Homoth-etic and conformal symmetries of solutions to Einstein’s equations. Comm.Math. Phys., 106, 137–158.

[ 1987 ]

[126] P. S. Krishnaprasad and J. E. Marsden [1987], Hamiltonian structure andstability for rigid bodies with flexible attachments. Arch. Rational Mech.Anal., 98, 71–93.

[127] J. E. Marsden and T. S. Ratiu [1987], Nonlinear Stability in Fluids andPlasmas. Seminar on New Results in Nonlinear Partial Differential Equa-tions, (A. J. Tromba, ed.), Vieweg, 101–134

[128] J. E. Marsden [1987], Generic Bifurcation of Hamiltonian Systems withSymmetry. appendix to Golubitsky and Stewart, Physica D , 24, 391–405.

[129] H. Cendra and J. E. Marsden [1987], Lin constraints, Clebsch potentialsand variational principles. Physica D , 27, 63–89.

[130] J. E. Marsden and J. Scheurle [1987], The Construction and Smoothnessof Invariant Manifolds by the Deformation Method. SIAM J. Math. Anal.,18, 1261–1274

[131] Lewis, D., J. E. Marsden and T. S. Ratiu [1987], Stability and bifurcationof a rotating liquid drop. J. Math. Phys., 28, 2508–2515.

[132] P. S. Krishnaprasad, J. E. Marsden, and T. Posbergh [1987], Stability anal-ysis of a rigid body with a flexible attachment using the energy-Casimirmethod. Contemp. Math., Amer. Math. Soc., Providence, RI, 68, 253–273.

[133] H. Cendra, A. Ibort, and J. E. Marsden [1987], Horizontal Lin constraints,Clebsch potentials and variational principles on principal fiber bundles.XV Coll. in Group Theor. Meth. in Phys., (R. Gilmore, ed.), World Sci.,446–450.

[134] H. Cendra, A. Ibort and J. E. Marsden [1987], Variational principles on fiberbundles: a geometric theory of Clebsch potentials and Lin constraints. J.Geom. Phys., 4, 183–206.

[ 1988 ]

[135] R. Grossman, P. S. Krishnaprasad and J. E. Marsden [1988], The dynamicsof two coupled rigid bodies. In Dynamical Systems Approaches to NonlinearProblems in Systems and Circuits, (Salam and Levi, eds.), SIAM , 373–378.

[136] J. E. Marsden [1988], The Hamiltonian formulation of classical field theory.Contemp. Math., Amer. Math. Soc., Providence, RI, 71, 221–235.

[137] N. Sreenath, Y. G. Oh, P. S. Krishnaprasad and J. E. Marsden [1988], Thedynamics of coupled planar rigid bodies. Part 1: Reduction, equilibria andstability. Dynamics Stability Systems, 3, 25–49.

[138] Z. Ge and J. E. Marsden [1988], Lie–Poisson integrators and Lie–PoissonHamiltonian–Jacobi theory. Phys. Lett. A, 133, 134–139.


[139] J. C. Simo, J. E. Marsden, and P. S. Krishnaprasad [1988], The Hamilto-nian structure of nonlinear elasticity: The material, spatial, and convectiverepresentations of solids, rods, and plates. Arch. Rational Mech. Anal., 104,125–183.

[140] P. J. Holmes, J. E. Marsden, and J. Scheurle [1988], Exponentially smallsplittings of separatrices with applications to KAM theory and degeneratebifurcations. Contemp. Math., Amer. Math. Soc., Providence, RI, 81, 213–244.

[ 1989 ]

[141] Y. G. Oh, N. Sreenath, P. S. Krishnaprasad, and J. E. Marsden [1989],The dynamics of coupled planar rigid bodies Part 2: Bifurcations, periodicsolutions, and chaos. J. Dynamics Differential Equations., 1, 269–298.

[142] J. E. Marsden, R. Montgomery, and T. Ratiu [1989], Cartan–Hannay–Berryphases and symmetry. Contemp. Math., Amer. Math. Soc., Providence, RI,97, 279–295.

[143] J. E. Marsden, J. C. Simo, D. R. Lewis, and T. A. Posbergh [1989], Block di-agonalization and the energy momentum method. Contemp. Math., Amer.Math. Soc., Providence, RI, 97, 297–313.

[144] J. C. Simo, T. A. Posbergh and J. E. Marsden [1989], Stability analysisof a rigid body with attached geometrically nonlinear rod by the energy-momentum method. Contemp. Math., Amer. Math. Soc., Providence, RI,97, 371–398. Amer. Math. Soc., Providence, RI.

[147] A. M. Bloch and J. E. Marsden [1989], Controlling homoclinic orbits. The-oret. Comput. Fluid Mech., 1, 179–190.

[146] D. Lewis and J. E. Marsden [1989], The Hamiltonian-dissipative decomposi-tion of normal forms of vector fields. Proc. of the Conference on BifurcationTheory and its Numerical Analysis, Xi’an Jaitong Univ. Press, 51–78.

[147] A. M. Bloch and J. E. Marsden [1989], Control and stabilization of systemswith homoclinic orbits. In Proceedings of the 28th IEEE Conference onDecision and Control, Tampa, FL, 1989, IEEE, New York, 1-3, 2238–2242.

[ 1990 ]

[148] A. M. Bloch and J. E. Marsden [1990], Stabilization of rigid body dynamicsby the energy-Casimir method. Syst. and Cont. Lett., 14, 341–346.

[149] D. Lewis, J. E. Marsden, T. S. Ratiu and J. C. Simo [1990], Normalizingconnections and the energy-momentum method. Proceedings of the CRMconference on Hamiltonian systems, Transformation Groups, and SpectralTransform Methods, CRM Press, (Harnad and Marsden, eds.), 207–227.

[150] S. J. Chern and J. E. Marsden [1990], A note on symmetry and stabilityfor fluid flows. Geo. Astro. Fluid Dyn., 51, 19–26.

[151] J. E. Marsden, R. Montgomery, and T. S. Ratiu [1990], Reduction, symme-try, and phases in mechanics. Memoirs Amer. Math. Soc., 436, 1-110.

[152] J. E. Marsden and J. C. Simo [1990], The energy-momentum method. La“Mecanique Analytique” de Lagrange et son Heritage, Atti della Accademiadelle Scienze di Torino, 124, 245–268.


[153] J. C. Simo, T. A. Posbergh and J. E. Marsden [1990], Stability of coupledrigid body and geometrically exact rods: block diagonalization and theenergy-momentum method. Phys. Reports, 193, 280–360.

[ 1991 ]

[154] J. E. Marsden, O. M. O’Reilly, F. J. Wicklin, and B. W. Zombro [1991],Symmetry, stability, geometric phases, and mechanical integrators. Nonlin-ear Science Today , 1, 4–11, and 1, 14–21.

[155] J. Scheurle, J. E. Marsden and P. J. Holmes [1991], Exponentially smallestimates for separatrix splittings. Asymptotics beyond all orders, Plenum,(H. Segur and S. Tanveer, eds.), 187–195.

[156] J. C. Simo, D. R. Lewis, and J. E. Marsden [1991], Stability of relativeequilibria I: The reduced energy momentum method. Arch. Rational Mech.Anal., 115, 15–59.

[157] J. C. Simo, T. A. Posbergh and J. E. Marsden [1991], Stability of relativeequilibria II: Three dimensional elasticity. Arch. Rational Mech. Anal., 115,61–100.

[158] J. E. Marsden, T. S. Ratiu and G. Raugel [1991], Symplectic connectionsand the linearization of Hamiltonian systems. Proc. Roy. Soc. EdinburghSect. A, 117, 329–380.

[159] D. D. Holm and J. E. Marsden [1991], The rotor and the pendulum. Sym-plectic Geometry and Mathematical Physics (P. Donato, C. Duval, J. El-hadad, and G. M. Tuynman, eds.), Birkhauser, Boston,189–203.

[160] A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden and T. S. Ratiu [1991],Asymptotic stability, instability, and stabilization of relative equilibria.Proc. of ACC., Boston IEEE , 1120–1125.

[ 1992 ]

[161] F. J. Lin and J. E. Marsden [1992], Symplectic reduction and topology forapplications in classical molecular dynamics. J. Math. Phys.,, 33, 1281–1294.

[162] M. Dellnitz, J. E. Marsden, I. Melbourne and J. Scheurle [1992], Generic bi-furcations of pendula. Internat. Ser. Num. Math. (G. Allgower, K. Bohmerand M. Golubitsky, eds.), Birkhauser, Boston, 104, 111–122.

[163] A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden, and G. Sanchez de Al-varez [1992], Stabilization of rigid body dynamics by internal and externaltorques. Automatica, 28, 745–756.

[164] D. Lewis, T. S. Ratiu, J. C. Simo, and J. E. Marsden [1992], The heavytop, a geometric treatment. Nonlinearity , 5, 1–48.

[165] M. Dellnitz, I. Melbourne and J. E. Marsden [1992], Generic bifurcation ofHamiltonian vector fields with symmetry. Nonlinearity , 5, 979–996.

[166] M. J. Gotay and J. E. Marsden [1992], Stress-energy-momentum tensorsand the Belinfante–Rosenfeld formula. Contemp. Math., Amer. Math. Soc.,Providence, RI, 132, 367–392.


[167] M. S. Alber and J. E. Marsden [1992], On geometric phases for solitonequations. Comm. Math. Phys., 149, 217–240.

[ 1993 ]

[168] H. P. Kruse, J. E. Marsden and J. Scheurle [1993], On uniformly rotatingliquid drops between two parallel states. Lectures in Appl. Math., 29, 307–317.

[169] J. E. Marsden and J. Scheurle [1993], Lagrangian reduction and the doublespherical pendulum. ZAMP , 44, 17–43.

[170] J. E. Marsden [1993], Steve Smale and Geometric Mechanics. Proceedingsof the Smalefest , Springer-Verlag, (M. Hirsch, J. Marsden, and M. Shub,eds.), 45, 499–516.

[171] J. E. Marsden and J. Scheurle [1993], The reduced Euler–Lagrange equa-tions. Fields Inst. Commun., 1, 139–164.

[172] J. E. Marsden [1993], Bifurcations in Hamiltonian systems with symmetry.Proc. 1st European Conf. on Nonlinear Oscillations, (E. Kreuzer and G.Schmidt, eds.), Akademie Verlag, 45–64.

[ 1994 ]

[173] A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden and T. S. Ratiu [1994],Dissipation Induced Instabilities. Ann. Inst. H. Poincare, Analyse Nonlin-eare, 11, 37–90.

[174] E. Knobloch, A. Mahalov, and J. E. Marsden [1994], Normal forms forthree-dimensional parametric instabilities in ideal hydrodynamics. PhysicaD , 73, 49–81.

[175] J. E. Marsden [1994], Geometric mechanics, stability, and control. Appl.Math. Sciences, Springer, (L. Sirovich, ed.), 100, 265–292

[176] M. S. Alber and J. E. Marsden [1994], Geometric phases and monodromy atsingularities. In Singular Limits of Dispersive Waves, NATO Adv. Sci. Inst.Ser. B Phys., 320, (N. Ercolani et al, eds.) Plenum Press, NY, 273–295.

[177] M. S. Alber, R. Camassa, D. D. Holm, and J. E. Marsden [1994], Thegeometry of peaked solitons and billiard solutions of a class of integrablepde’s. Lett. Math. Phys., 32, 137–151.

[178] M. S. Alber and J. E. Marsden [1994], Resonant geometric phases for solitonequations. Fields Inst. Commun., 3, 1–26.

[179] J. E. Marsden [1994], Some remarks on geometric mechanics. Duration andChange: Fifty years at Oberwolfach, (M. Artin, H. Kraft, R. Remmert,eds.), Springer-Verlag, 254–274.

[180] M. S. Alber and J. E. Marsden [1994], Complex geometric asymptotics fornonlinear systems on complex varieties. Topol. Methods Nonlinear Anal.,4, 237–251.

[ 1995 ]

[181] M. S. Alber, R. Camassa, D. D. Holm and J. E. Marsden [1995], On thelink between umbilic geodesics and soliton solutions of nonlinear PDE’s.Proc. Roy. Soc., 450, 677–692.


[182] M. Golubitsky, J. E. Marsden, I. M. Stewart, and M. Dellnitz [1995], TheConstrained Liapunov–Schmidt procedure and periodic orbits. Fields Inst.Commun., 4, 81–127.

[183] J. E. Marsden, T. S. Ratiu, and G. Raugel [1995], Equations d’Euler dansune coque spherique mince (Euler equations on a thin spherical shell). C.R. Acad. Sci. Paris, 321, 1201–1206.

[184] Z. Ge, H. P. Kruse, J. E. Marsden, and C. Scovel [1995], The convergenceof Hamiltonian structures in the shallow water approximation. CanadianQuarterly of Applied Math., 3, 277–302.

[185] N. H. Getz, and J. E. Marsden [1995], A dynamic inverse for nonlinearmaps. Proc. IEEE Conference on Decision and Control , 34.

[186] N. H. Getz, and J. E. Marsden [1995], Joint-space tracking of workspacetrajectories in continuous time. Proc. IEEE Conference on Decision andControl., 34.

[187] N. H. Getz, and J. E. Marsden [1995], Control for an autonomous bicy-cle. IEEE International Conference on Robotics and Automation, Nagoya,Japan.

[188] N. H. Getz, and J. E. Marsden [1995], Tracking implicit trajectories. IFACSymposium on Nonlinear Control Systems Design, Tahoe City.

[189] J. E. Marsden and J. Scheurle [1995], Pattern evocation and geometricphases in mechanical systems with symmetry. Dynamics Stability Systems,10, 315–338.

[ 1996 ]

[190] Z. Ge, H. P. Kruse and J. E. Marsden [1996], The limits of Hamiltonianstructures in three-dimensional elasticity, shells and rods. J. Nonlinear Sci.,6, 19–57.

[191] M. S. Alber and J. E. Marsden [1996], Semiclassical monodromy and thespherical pendulum as a complex Hamiltonian system. Fields Inst. Com-mun., 8, 1–18.

[192] A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden, and T. S. Ratiu [1996],The Euler–Poincare equations and double bracket dissipation. Comm.Math. Phys., 175, 1–42.

[193] J. E. Marsden, J. Scheurle, and J. Wendlandt [1996], Visualization of or-bits and pattern evocation for the double spherical pendulum. ICIAM 95:Mathematical Research, Academie Verlag , (K. Kirchgassner, O. Mahren-holtz, and R. Mennicken, eds.), 87, 213–232.

[194] Kirk, V., J. E. Marsden, and M. Silber [1996], Branches of stable three-tori using Hamiltonian methods in Hopf bifurcation on a rhombic lattice.Dynamics Stability Systems, 11, 267–302.

[195] A. M. Bloch, P. S. Krishnaprasad, J. E. Marsden, and R. Murray [1996],Nonholonomic mechanical systems with symmetry. Arch. Rational Mech.Anal., 136, 21–99.

[196] C.-Y. Xu and J. E. Marsden [1996], Asymptotic stability for equilibria ofnonlinear semiflows with applications to rotating viscoelastic rods I. Topol.Methods Nonlinear Anal., 7, 271–297.


[ 1997 ]

[197] M. S. Alber, G. G. Luther, and J. E. Marsden [1997], Complex billiardHamiltonian systems and nonlinear waves. In Algebraic Aspects of Inte-grable Systems: in Memory of Irene Dorfman., (A. S. Fokas and I. M.Gelfand eds.), Progress in Nonlinear Differential Equations, Birkauser, 26,1–16.

[198] M. S. Alber, G. G. Luther and J. E. Marsden [1997], Energy dependentSchrodinger operators and complex hamiltonian systems on Riemann sur-faces. Nonlinearity, 10 223–242

[199] A. M. Bloch, J. E. Marsden and G. Sanchez [1997], Feedback stabilizationof relative equilibria of mechanical systems with symmetry. Current andFuture Directions in Applied Mathematics, (M. S. Alber, B. Hu, and J.Rosenthal, eds.) Birkhauser, 43–64.

[200] J. E. Marsden and J. M. Wendlandt [1997], Mechanical systems with sym-metry, variational principles and integration algorithms. Current and Fu-ture Directions in Applied Mathematics, (M. S. Alber, B. Hu, and J. Rosen-thal, eds.) Birkhauser, 219–261.

[201] W. S. Koon and J. E. Marsden [1997], Optimal control for holonomic andnonholonomic mechanical systems with symmetry and Lagrangian reduc-tion. SIAM J. Control Optim., 35, 901–929.

[202] J. E. Marsden [1997], Geometric foundations of motion and control Motion,Control and Geometry. BMS, National Academy Press, 3–19.

[203] N. H. Getz and J. E. Marsden [1997], Dynamical methods for polar de-composition and inversion of matrices. Linear Algebra and its Appl., 258,311–343.

[204] N. E. Leonard and J. E. Marsden [1997], Stability and drift of underwa-ter vehicle dynamics: Mechanical Systems with Rigid Motion Symmetry.Physica D , 105, 130–162.

[205] J. M. Wendlandt and J. E. Marsden [1997], Mechanical integrators derivedfrom a discrete variational principle. Physica D , 106, 223–246.

[206] A. M. Bloch, N. Leonard, and J. E. Marsden [1997], Stabilization of me-chanical systems using controlled Lagrangians. Proc. CDC, 36, 2356–2361.

[207] W. S. Koon and J. E. Marsden [1997], The geometric structure of nonholo-nomic mechanics. Proc. CDC, 36, 4856–4862.

[208] W. S. Koon and J. E. Marsden [1997], The Hamiltonian and Lagrangianapproaches to the dynamics of nonholonomic systems. Rep. Math. Phys.,40, 21–62.

[ 1998 ]

[209] D. D. Holm, J. E. Marsden, and T. S. Ratiu [1998], Euler–Poincare modelsof ideal fluids with nonlinear dispersion. Phys. Rev. Lett., 349, 4173–4177.

[210] H. Cendra, D. D. Holm, M. J. W. Hoyle, and J. E. Marsden [1998], TheMaxwell–Vlasov equations in Euler–Poincare form. J. Math. Phys., 39,3138–3157


[211] D. V. Zenkov, A. M. Bloch, and J. E. Marsden [1998], The Energy Momen-tum Method for the Stability of Nonholonomic Systems. Dynamics StabilitySystems, 13, 123–166.

[212] D. D. Holm, J. E. Marsden and T. S. Ratiu [1998], The Euler–PoincareEquations and Semidirect Products with Applications to Continuum The-ories. Adv. Math., 137, 1–81.

[213] J. E. Marsden, G. Misiolek, M. Perlmutter, and T. Ratiu [1998], Symplec-tic reduction for semidirect products and central extensions. DifferentialGeom. Appl., 9, 173–212.

[214] H. Cendra, D. D. Holm, J. E. Marsden and T. S. Ratiu [1998], LagrangianReduction, the Euler–Poincare Equations, and Semidirect Products. Amer.Math. Soc. Transl., 186, 1–25.

[215] S. Pekarsky and J. E. Marsden [1998], Point Vortices on a Sphere: Stabilityof Relative Equilibria. J. Math. Phys., 39, 5894–5907.

[216] M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins [1998], Geo-metric phases, reduction and Lie–Poisson structure for the resonant three-wave interaction. Physica D, 123, 271–290.

[217] J. E. Marsden, G. W. Patrick, and S. Shkoller [1998], Multisymplectic Ge-ometry, Variational Integrators, and Nonlinear PDEs. Comm. Math. Phys.,199, 351–395

[218] W. S. Koon and J. E. Marsden [1998], The Poisson reduction of nonholo-nomic mechanical systems. Reports on Math Phys., 42, 101–134.

[219] A. M. Bloch, N. Leonard, and J. E. Marsden [1998], Matching and stabiliza-tion by the method of controlled Lagrangians. Proc. CDC, 37, 1446–1451.

[220] A. M. Bloch, P. Crouch, J. E. Marsden, and T. S. Ratiu [1998], Discreterigid body dynamics and optimal control. Proc. CDC, 37, 2249–2254.

[221] S. Glavaski, J. E. Marsden, and R. M. Murray [1998], Model reduction,centering, and the Karhunen–Loeve expansion. Proc. CDC, 37, 2071–2076.

[222] J. E. Marsden and J. Ostrowski [1998], Symmetries in Motion: Geomet-ric Foundations of Motion Control. Nonlinear Sci. Today. (http://link.springer-ny.com).

[ 1999 ]

[223] H. P. Kruse, A. Mahalov, and J. E. Marsden [1999], On the Hamilto-nian structure and three-dimensional instabilities of rotating liquid bridges.Fluid Dyn. Research, 24, 37–59.

[224] J. E. Marsden and S. Shkoller [1999], Multisymplectic geometry, covariantHamiltonians and water waves. Math. Proc. Camb. Phil. Soc., 125, 553–575.

[225] S. M. Jalnapurkar and J. E. Marsden [1999], Stabilization of relative equi-libria II. Reg. and Chaotic Dyn., 3, 161–179.

[226] C. Kane, J. E. Marsden, and M. Ortiz [1999], Symplectic energy momentumintegrators, J. Math. Phys., 40, 3353–3371.

[227] J. E. Marsden [1999], Park City lectures on mechanics, dynamics and sym-metry Symplectic Geometry and Topology , (Y. Eliashberg and L. Traynor,eds.), Amer. Math. Soc. IAS/Park City Math. Series, 7, 335–430.


[228] J. E. Marsden, S. Pekarsky and S. Shkoller [1999], Discrete Euler–Poincareand Lie–Poisson equations. Nonlinearity, 12, 1647–1662.

[229] C. Kane, E. A. Repetto, M. Ortiz, and J. E. Marsden [1999], Finite elementanalysis of nonsmooth contact. Comput. Methods Appl. Mech. Engrg., 180,1–26.

[230] M. S. Alber, R. Camassa, Y. N. Fedorov, D. D. Holm, J. E. Marsden [1999],On billiard solutions of nonlinear PDE’s. Phys. Lett. A, 264, 171–178.

[231] M. S. Alber, G. G. Luther, J. E. Marsden J. M. Robbins [1999], Geometryand control of three-wave interactions. Fields Inst. Commun., 24, 55–80.

[237] A. M. Bloch, N. Leonard and J. E. Marsden [1999], Potential shaping andthe method of controlled Lagrangians. Proc. CDC, 38, 1653–1657.

[233] D. V. Zenkov, A. M. Bloch, and J. E. Marsden [1999], Stabilization of theunicycle with rider. Proc. CDC, 38, 3470–3471.

[234] J. E. Marsden, S. Pekarsky, and S. Shkoller [1999], Stability of relativeequilibria of point vortices on a sphere and symplectic integrators. Il. NuovoCimento, 22, 793–802.

[235] S. Lall, J. E. Marsden, and S. Glavaski [1999], Empirical model reductionof controlled nonlinear systems, Proceedings of the IFAC World Congress,F, 473–478.

[236] P. A. Parrilo, S. Lall, F. Paganini, G. C. Verghese, B. C. Lesieutre, andJ. E. Marsden [1999], Model reduction for analysis of cascading failures inpower systems, Proc. Amer. Control Conf., June 2–4, 1999, 4208–4212.

[237] Bloch, A. M., N. Leonard and J. E. Marsden [1999], Stabilization of thependulum on a rotor arm by the method of controlled Lagrangians, Pro-ceedings of the International Conference on Robotics and Automation 1999,IEEE, 500–505.

[ 2000 ]

[238] A. M. Bloch, D. E. Chang, N. E. Leonard, J. E. Marsden, C. Woolsey [2000],Asymptotic stabilization of Euler–Poincare mechanical systems. IFAC Pro-ceedings, Princeton, March 16–18, 2000.

[261] D. V. Zenkov, A. M. Bloch, N. E. Leonard, and J. E. Marsden [2000],Matching and stabilization of the unicycle with rider, IFAC Proceedings,Princeton, March 16–18, 2000.

[240] A. M. Bloch, P. E. Crouch, J. E. Marsden, T. S. Ratiu [2000], An almostPoisson structure for the generalized rigid body equations, IFAC Proceed-ings, Princeton, March 16–18, 2000.

[241] R. Serban, W. S. Koon, M. Lo, J. E. Marsden, L. R. Petzold, S. D. Ross,and R. S. Wilson [2000], Optimal control for halo orbit missions, IFACProceedings, Princeton, March 16–18, 2000.

[242] C. W. Rowley and J. E. Marsden [2000], Reconstruction equations and theKarhunen–Loeve expansion for systems with symmetry. Physica D, 142,1–19.

[243] M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins [2000], Geo-metric analysis of optical frequency conversion and its control in quadraticnonlinear media. J. Opt. Soc. Amer. B, 17, 932–941.


[244] W.-S. Koon, M. W. Lo, J. E. Marsden, and Shane D. Ross [2000], Hete-roclinic Connections between periodic orbits and resonance transitions incelestial mechanics, Chaos 10, 427–469.

[245] J. E. Marsden, T. S. Ratiu and J. Scheurle [2000], Reduction theory and theLagrange–Routh equations, J. Math. Phys. Millenium Issue 41, 3379–3429.

[246] J. E. Marsden and M. Perlmutter [2000], The orbit bundle picture of cotan-gent bundle reduction, C. R. Math. Rep. Acad. Sci.Canada, 22, 33–54.

[255] Koon, W. S., M. W. Lo, J. E. Marsden and S. D. Ross [2000b], Shootthe Moon, AAS/AIAA Astrodynamics Specialist Conference, Florida, 2000,AAS, 000-166.

[254] Marsden, J. E., S. Pekarsky, and S. Shkoller [2000], Symmetry Reductionof Discrete Lagrangian Mechanics on Lie Groups. J. Geom. Physics, 36,140-150.

[249] S. M. Jalnapurkar and J. E. Marsden [2000], Stabilization of relative equi-libria, IEEE Trans. Automat. Control 45, 1483–1491.

[250] S. M. Jalnapurkar and J. E. Marsden [2000], Reduction of Hamilton’s vari-ational principle, Dynamics Stability Systems, 15, 287–318.

[251] J. E. Marsden, T. S. Ratiu, and S. Shkoller [2000], The geometry andanalysis of the averaged Euler equations and a new diffeomorphism group,Geom. Funct. Anal., 10, 582–599.

[252] C. Kane, J. E. Marsden, M. Ortiz and M. West [2000], Variational integra-tors and the Newmark algorithm for conservative and dissipative mechan-ical systems, Internat. J. Numer. Math. Engrg., 49, 1295–1325.

[253] C. Kane, J. E. Marsden, M. Ortiz, and A. Pandolfi [2000], Frictional Col-lisions Off Sharp Objects, International Conference on Differential Equa-tions, Berlin, 1999, (B. Fiedler, K. Groger and J. Sprekels, eds.), WorldScientific, 979–984.

[254] J. E. Marsden, S. Pekarsky, and S. Shkoller [2000], Poisson structure andinvariant manifolds on Lie groups, International Conference on DifferentialEquations, Berlin, 1999, (B. Fiedler, K. Groger, and J. Sprekels, eds.),World Scientific, 1192–1197.

[255] W. S. Koon, M. W. Lo, J. E. Marsden, and S. D. Ross [2000], DynamicalSystems, the Three-Body Problem, and Space Mission Design, Interna-tional Conference on Differential Equations, Berlin, 1999, (B. Fiedler, K.Groger, and J. Sprekels, eds.), World Scientific, 1167–1181.

[256] M. West, C. Kane, J. E. Marsden and M. Ortiz, [2000], Variational inte-grators, the Newmark scheme, and dissipative systems, International Con-ference on Differential Equations, Berlin, 1999, (B. Fiedler, K. Groger andJ. Sprekels, eds.), World Scientific, 1009–1011.

[257] J. E. Marsden, T. S. Ratiu, G. Raugel [2000], The Euler Equations on ThinDomains, International Conference on Differential Equations, Berlin, 1999,(B. Fiedler, K. Groger and J. Sprekels, eds.), World Scientific, 1198–1203.

[258] Mohseni, K., S. Shkoller, B. Kosovi, J. E. Marsden, D. Carati, A. Wray,and R. Rogallo [2000], Numerical Simulations of Homogeneous TurbulenceUsing the Lagrangian-averaged Navier-Stokes equations, Proc. Center forTurbulence Research, Summer School,


[259] Chang, D. E. and J. E. Marsden [2000], Asymptotic stabilization of theheavy top using controlled Lagrangians. Proc. CDC, 39, 269-273.

[260] Bloch, A. M., P. Crouch, D. Holm, and J. E. Marsden [2000], An optimalcontrol formulation for inviscid incompressible ideal fluid flow, Proc. CDC,39, 1273-1279.

[261] Zenkov, D. V., A. M. Bloch, N. E. Leonard, and J. E. Marsden [2000],Matching and stabilization of low-dimensional nonholonomic systems Proc.CDC, 39, 1289-1295.

[262] A. M. Bloch, N. Leonard, and J. E. Marsden [2000], Controlled Lagrangiansand the stabilization of mechanical systems I: The first matching theorem,IEEE Trans. Automat. Control 45, 2253–2270.

[ 2001 ]

[263] H. Cendra, J. E. Marsden, and T. S. Ratiu [2001], Geometric mechanics, La-grangian reduction and nonholonomic systems. In Mathematics Unlimited—2001 and Beyond, (B. Enquist and W. Schmid, eds.), Springer-Verlag,New York, pages 221–273.

[264] J. E. Marsden, S. Pekarsky, S. Shkoller, and M. West [2001], Variationalmethods, multisymplectic geometry and continuum mechanics, J. Geom.Phys. 38, 253–284.

[265] P. Krysl, S. Lall, and J. Marsden [2001], Dimensional model reductionin nonlinear finite element dynamics of solids and structures, Internat. J.Numer. Methods Engrg. 51, 479–504.

[266] A. M. Bloch, N. Leonard, and J. E. Marsden [2001], Controlled Lagrangiansand the stabilization of Euler–Poincare mechanical systems, Internat. J.Robust Nonlinear Control 11, 191–214.

[267] K. Mohseni, B. Kosovic, S. Shkoller, and J. E. Marsden [2001], Numericalsimulations of the Lagrangian averaged Navier–Stokes (LANS-α) equationsfor forced homogeneous isotropic turbulence, AIAA 2001–2645.

[268] H. Cendra, J. E. Marsden, and T. S. Ratiu [2001], Lagrangian reduction bystages, volume 152 of Memoirs. Amer. Math. Soc., Providence, R.I.

[269] J. E. Marsden and S. Shkoller [2001], Global well-posedness for the La-grangian averaged Navier-Stokes (LANS-α) equations on bounded domains.Philos. Trans. Roy. Soc. London Ser. A 359, 1449–1468.

[270] S. Pekarsky and J. E. Marsden [2001], Abstract mechanical connectionand abelian reconstruction for almost Kahler manifolds, Journal of AppliedMathematics 1, 1–28.

[271] J. E. Marsden and M. West [2001], Discrete mechanics and variationalintegrators, Acta Numerica 10, 357–514.

[272] A. Hirani, J. E. Marsden, and J. Arvo [2001], Averaged template matchingequations, Lecture Notes in Comput. Sci., Springer 2134, 528–543.

[273] M. Alber, R. Camassa, Y. Fedorov, D. Holm, and J. E. Marsden [2001],The complex geometry of weak piecewise smooth solutions of integrablenonlinear PDE’s of shallow water and Dym type, Comm. Math. Phys. 221,197–227.


[274] C. Woolsey, A. M. Bloch, N. E. Leonard, and J. E. Marsden [2001], Phys-ical dissipation and the method of controlled Lagrangians, Proceedings ofthe European Control Conference, Porto, Portugal, September 2001, 2570–2575.

[275] A. M. Bloch, D. Chang, N. Leonard, and J. E. Marsden [2001], ControlledLagrangians and the stabilization of mechanical systems II: Potential shap-ing, IEEE Trans. Automat. Control, 46, 1556–1571.

[276] G. Gomez, W. S. Koon, M. W. Lo, J. E. Marsden, J. Masdemont, andS. D. Ross [2001], Invariant manifolds, the spatial three-body problem andspace mission design, Proceedings of AIAA/AAS Astrodynamics SpecialistMeeting, Quebec City, Quebec, Canada, August, 2001, AAS 01–301.

[277] W. S. Koon, J. E. Marsden, J. Masdemont, and R. M. Murray [2001], J2

dynamics and formation flight, Proceedings of AIAA Guidance, Navigation,and Control Conference, Montreal, Canada, August, AIAA 2001–4090.

[278] C. Woolsey, A. M. Bloch, N. E. Leonard, and J. E. Marsden [2001], Dissipa-tion and controlled Euler–Poincare systems, 2001 Conference on Decisionand Control, Orlando, FL, December 2001, 3378–3383.

[279] M. G. Clerc and J. E. Marsden [2001] Dissipation-induced instabilities in anoptical cavity laser: A mechanical analog near the 1:1 resonance, PhysicalReview E, 64, (2001), 067603.

[280] J. E. Marsden and A. Weinstein [2001] Comments on the history, theory,and applications of symplectic reduction. In Quantization of Singular Sym-plectic Quotients. (N. Landsman, M. Pflaum, and M. Schlichenmaier, eds.),Birkhauser, Boston, pp 1–20.

[281] Koon, W. S., M. Lo, J. E. Marsden, and S. Ross [2001] Resonance andcapture of Jupiter comets, Celestial Mech. and Dyn. Astron. 81, 27–38.

[282] Koon, W. S., M. Lo, J. E. Marsden, and S. Ross [2001] Low energy transferto the moon, Celestial Mech. and Dyn. Astron. 81, 63–73.

[ 2002 ]

[283] D. E. Chang, D. Chichka, and J. E. Marsden [2002], Lyapunov-based trans-fer between elliptic Keplerian orbits, Discrete and Continuous DynamicalSystems, Series B 2, 57–67.

[284] A. Pandolfi, C. Kane, J. E. Marsden, and M. Ortiz [2002], Time-discretizedvariational formulation of nonsmooth frictional contact, Internat. J. Nu-mer. Methods Engrg. 53, 1801–1829.

[285] B. N. Shashikanth, J. E. Marsden, J. W. Burdick, and S. D. Kelly [2002],The Hamiltonian structure of a 2D rigid circular cylinder interacting dy-namically with N point vortices, Phys. of Fluids, 14, 1214–1227.

[286] Serban, R., W. S. Koon, M. Lo, J. E. Marsden, L. R. Petzold, S. D. Ross,and R. S. Wilson [2002], Halo orbit mission correction maneuvers usingoptimal control, Automatica 38, 571–583.

[287] Koon, W. S., M. Lo, J. E. Marsden, and S. Ross [2002], Constructing alow energy transfer between Jovian moons, Contemp. Math., Amer. Math.Soc., Providence, RI, 292, 129–146.


Textbooks (Chronological)

[288] Basic Complex Analysis. W. H. Freeman, 1973.Second Edition (with M. Hoffman), 1987.Third Edition, November 1998.

[289] Elementary Classical Analysis. W. H. Freeman, 1974,Second Edition (with M. Hoffman), 1993.

[290] Vector Calculus (with Anthony Tromba). W. H. Freeman, 1976,Fourth Edition, 1996

[291] Calculus, I, II, III (with Alan Weinstein).Second Edition, Springer-Verlag, 1985,

[292] Calculus Unlimited (with Alan Weinstein).Benjamin-Cummings, 1981.

[293] Basic Multivariable Calculus (with Weinstein and Tromba).W. H. Freeman and Springer-Verlag, 1992.

Monographs (Chronological)

[294] Foundations of Mechanics, (with R. Abraham), 1967.Second Edition, Addison Wesley, 1978.

[295] Lectures on Analysis, by G. Choquet (co-editor).Benjamin, 3 vols., 1969.

[296] Applications on Global Analysis in Mathematical Physics,Berkeley Lecture Note Series, 1976.

[297] The Hopf Bifurcation and Its Applications, (with M. McCracken),Appl. Math. Sci. 19, Springer-Verlag, 1976.

[298] A Mathematical Introduction to Fluid Mechanics, (with A. Chorin),Texts in Appl. Math. 4, Springer-Verlag, 1979. Third Edition, 1993.

[299] Lectures on Geometric Methods in Mathematical Physics. 37,SIAM–CBMS, 1981.

[300] Mathematical Foundations of Elasticity, (with T. Hughes),Prentice Hall, 1983. Reprinted Dover, 1994.

[301] Manifolds, Tensor Analysis, and Applications,(with R. Abraham and T. Ratiu), 1983.Second Edition, Appl. Math. Sci. 75, Springer-Verlag, 1988.

[302] Lectures on Mechanics, Cambridge University Press, 1992.

[303] Introduction to Mechanics and Symmetry , (with T. Ratiu),Texts in Appl. Math. 17, Springer-Verlag, 1994,Second Edition, 1999.

Contributors

Editors:

∗ Philip HolmesDepartment of Mechanical

and Aerospace EngineeringD–202B Engineering QuadPrinceton UniversityPrinceton, NJ [email protected]

∗ Paul K. NewtonDepartment of Aerospace

and Mechanical EngineeringUniversity of Southern CaliforniaLos Angeles, CA 90089–[email protected]

∗ Alan WeinsteinDepartment of MathematicsUniversity of California, BerkeleyBerkeley, CA [email protected]

Authors:

∗ John M. BallMathematical InstituteUniversity of Oxford24–29 St. Giles’Oxford OX1 3LB, [email protected]

∗ Anthony BlochDepartment of MathematicsUniversity of MichiganAnn Arbor, MI 48109–[email protected]

∗ Alain ChencinerDepartement de MathematiquesUniversite Paris VII— Denis Diderot16, rue Clisson75013 Paris, [email protected]

Astronomie et Systemes DynamiquesIMCCE, UMR 8028 du CNRS77, avenue Denfert–Rochereau75014 Paris, [email protected]

∗ Arthur FischerDepartment of MathematicsUniversity of California, Santa CruzSanta Cruz, CA [email protected]

∗ Joseph GerverDepartment of MathematicsRutgers UniversityCamden, NJ [email protected]

∗ Martin GolubitskyDepartment of MathematicsUniversity of HoustonHouston, TX [email protected]

∗ Mark GotayDepartment of MathematicsUniversity of Hawaii2565 The MallHonolulu, HI 96822–[email protected]

∗ Victor GuilleminDepartment of MathematicsMassachussetts Institute of TechnologyCambridge, Massachussetts 02139–[email protected]

∗ D.D. HolmTheoretical Division, T–7, MS 284Los Alamos National LabLos Alamos, NM [email protected]

∗ T. J. R. HughesMechanics and ComputationDurand BuildingStanford UniversityStanford, CA 94305tjr [email protected]

569

570 Contributors

∗ Edgar KnoblochDepartment of Physics

University of California, Berkeley

Berkeley, CA 94720

[email protected] of Applied MathematicsUniversity of LeedsLeeds LS2 9JT, [email protected]

∗ Naomi LeonardDepartment of Mechanical

and Aerospace EngineeringD–202B Engineering QuadPrinceton UniversityPrinceton, NJ [email protected]

∗ Adrian LewDepartment of AeronauticsM/C 105-50California Institute of Technology1200 E. California Blvd.Pasadena, CA [email protected]

∗ Robert LittlejohnDepartment of PhysicsUniversity of California, BerkeleyBerkeley, CA [email protected]

∗ Alexander MielkeMathematisches Institut AUniversitat StuttgartPfaffenwaldring 5770569 Stuttgart, [email protected]

∗ Kevin MitchellP.O. Box 8795College of William and MaryWilliamsburg, VA [email protected]

∗ Vincent MoncriefDepartment of MathematicsYale University10 Hillhouse Ave.New Haven, CT 06520–[email protected]

∗ Richard MontgomeryApplied Sciences BuildingUniversity of California, Santa CruzSanta Cruz, CA [email protected]

∗ Assad A. OberaiDepartment of Aerospace

and Mechanical EngineeringBoston UniversityBoston, MA [email protected]

∗ Juan-Pablo OrtegaInstitut Non Lineaire de NiceCentre National de la Recherche

Scientifique1361, route des LuciolesF-06560 Valbonne, [email protected]

∗ Michael OrtizDepartment of Aeronautics

and Mechanical EngineeringM/C 105–50California Institute of Technology1200 E. California Blvd.Pasadena, CA [email protected]

∗ Tudor RatiuInstitut BernoulliEcole Polytechnique Federale

de LausanneCH-1015 Lausanne, [email protected]

∗ Jurgen ScheurleTechnische Universitat MunchenZentrum MathematikD-80290 Munchen, [email protected]

∗ Steve ShkollerDepartment of MathematicsUniversity of California, DavisDavis, CA [email protected]

∗ Carles SimoDepartament de Matematica Aplicada

i AnalisiUniversitat. de BarcelonaGran Via, 585, Barcelona 08007, [email protected]

∗ Ian StewartMathematics InstituteUniversity of WarwickCoventry, CV4 7AL, [email protected]

ctd. −→

Contributors 571

∗ Jose VegaE.T.S.I. Aeronauticos

Universidad Politecnica de MadridPlaza Cardenal Cisneros 328040 Madrid, [email protected]

∗ Sebastian WalcherLehrstuhl A fur MathematikRWTH AachenD-52056 Aachen, [email protected]

∗ Catalin ZaraDepartment of MathematicsMassachussetts Institute of TechnologyCambridge, MA [email protected]

TEXnical Editors:

∗ Wendy G. McKayControl and Dynamical SystemsM/C 107-81California Institute of Technology1200 E. California Blvd.Pasadena, CA [email protected]

∗ Ross R. MooreMathematics DepartmentMacquarie UniversitySydney, NSW 2109, [email protected]

Documents

VII - link.springer.com978-0-387-21791-8/1.pdf · 540 Curriculum Vitae: J.E.Marsden Ordway Scholar, University of Minnesota, 1991 Fairchild Fellow, Caltech, 1992 Redman Lectures,