Encyclopedia ofNonlinear Science

Alwyn Scott, EditorThe Encyclopedia of Nonlinear Science provides complete coverage at the introduc-tory level of the field of nonlinear science, from intuitive descriptions to mathemati-cal concepts over a wide range of subject matters.

Comprised of 438 essays arranged alphabetically in one large volume, thisEncyclopedia covers subjects such as chaos and turbulence in addition to theformation (emergence) and dynamics of coherent structure (solitons, nerveimpulses, shock waves, tornados, and so on). Entries describe basic phenomenathat arise in mathematics; theoretical and applied physics; chemistry; physicalchemistry; electrical, chemical, and mechanical engineering; atmospheric andearth sciences; biology; economics; and neuroscience; among several others.Some of the entries are theoretical in nature, while others present phenomena inintuitive terms, but all are introductory, leading the reader toward further insights inthe area of interest.

Designed for undergraduate and graduate students and researchers as well asestablished nonlinear scientists interested in applying methods outside of theirown specialized areas, this is the definitive reference to all aspects of nonlinearscience.

Key Features:A one stop resource for students and researchers from a wide range of disci-plines

438 authoritative entries written by an international team of leading specialists

Extensive cross-references guiding the reader to related topics

Over 550 b/w and color line diagrams and photos

Authoritative and up-to-date bibliographies as well as suggestions for furtherreading

International advisory board

November 2004 1000 pgs550 b/w illus. 8 pages colorLibrary Binding 8-1/2” x 11” Acid Free PaperHb: 1-57958-385-7 $225.00 £135.00

Thematically arranged sampling; Entries are A-ZCommon examples in the natural worldButterfly effectDripping faucetEconomic dynamicsJupiter’s Great Red SpotNonlinear toysTraffic flow

History of nonlinear scienceDeterminismFermi-Pasta-Ulam chainPoincaré theoremsSolitons: a brief historyVan der Pol equation

Analytical and computational methodsBäcklund transformationsCellular automataCenter-manifold reductionCharacteristics

Collective coordinatesContour dynamicsEmbedding methodsIntegrabilityPainlevé analysisRandom matrix theoryTime series analysis

Dynamical systemsAttractorsAubry-Mather theoryBifurcationsCat mapChaotic dynamicsPhase spaceReaction-diffusion systemsRoutes to chaos

Mathematical modelsAblowitz-Kaup-Newell-Segur system

Frenkel-Kontorova modelKorteweg-de Vries equationNonlinear Schrödinger equations

Coherent structuresBiomolecular solitonsBreathersDavydov solitonEmergenceSpiral waves

Physics applicationsFluid dynamicsGravitational wavesQuantum field theoryLocal modes in molecular crystalsSkyrmionsSuperfluidityYang-Mills theory

Engineering applicationsChua’s circuitJosephson junction arraysNonlinear opticsSemiconductor oscillatorsSynchronization

Biological and neuroscience applicationsBiological evolutionCardiac muscle modelsHodgkin-Huxley equationsNephron dynamicsProtein dynamicsScroll wavesTuring patterns

and many more...

Visit www.routledge-ny.com/nonlinearsci for sample entriesplus a full list of entries and contributors

The impressive roster of contributorsoffers more than 400 well-written,

concise, well-illustrated articles thatinclude excellent bibliographies.

Related references and an excellentindex add breadth and depth to the

encyclopedia's usefulness...Highly recommended--Choice