Curriculum Vitae - Mathematics and Statistics · Control (PhysCon-2017), Florence, Italy, July 17-19, 2017. thInternational Advisory Committee member, 6 International Conference on

Curriculum Vitae

Name: Igor Belykh

Rank: Professor

Department of Mathematics and Statistics (with a joint appointment in Neuroscience

Institute)

Georgia State University, Atlanta, GA, 30303-3083, USA

E-mail: [email protected]

Web: https://math.gsu.edu/ibelykh

Research Interests: Mathematical Biology and Neuroscience, Biomechanics, Applied

Mathematics, Applied Dynamical Systems, Control, Applications in Biological,

Ecological, Social, and Engineering Networks.

I. EDUCATION

Postdoc in Applied Mathematics and Computational Neuroscience,

Swiss Federal Institute of Technology (EPFL), 2001-2005. Postdoctoral adviser: Prof.

Martin Hasler.

Ph.D. in Applied Mathematics, University of Nizhny Novgorod, Russia, 2000. Ph.D.

advisor: Prof. Leonid Shilnikov.

M.S. in Physics and Mathematics, Lobachevsky State University of Nizhny Novgorod,

Russia, 1996.

II. PROFESSIONAL CREDENTIALS

08/06/2017-present

08/06/2011 - 08/05/2017

01/01/2006 –07/31/2011

08/01/2001 –12/31/2005

08/01/1999 – 07/31/2001

07/31/1998- 07/31/1999

Professor, Georgia State University, Atlanta

Associate Professor, Georgia State University, Atlanta

Assistant Professor, Georgia State University, Atlanta

Postdoctoral Fellow, Laboratory of Nonlinear Systems, Swiss

Federal Institute of Technology Lausanne (EPFL).

Research Scientist, Department of Differential Equations, Institute

of Applied Mathematics and Cybernetics, N. Novgorod, Russia.

Ph.D. student, Swiss Federal Institute of Technology [One-year

scholarship from the Swiss Government, “Boursier de la

Confédération”].

https://math.gsu.edu/ibelykh

III. PROFESSIONAL DEVELOPMENTS

CURRENT FEDERAL FUNDING

Sole PI: NSF Applied Mathematics, DMS Grant 1909924: “Modern Approaches

to Modeling and Predicting Bridge Instabilities,” August 15, 2019 - July 31,

2022, $478,754.

PENDING

PI: US Army Research Office, Division: Network Science/Control & Dynamics,

Proposal: “Panta Rhei: How and why multi-agent systems and their surrounding

environment co-evolve,” $375,000. Co-PI: M. Porfiri (New York University

Tandon School of Engineering).

Co-PI (PI on a subaward): NSF Leading Engineering for America's Prosperity,

Health, and Infrastructure Program, Division of Civil, Mechanical, and

Manufacturing Engineering. Proposal: “Understanding and Engineering the

Ecosystem of Firearms: Prevalence, Law, and Firearm-Related Harms,” Lead PI:

Maurizio Porfiri (NYU), PIs: Igor Belykh (GSU), Rifat Sipahi (Northeastern

University), and James Macinko (Public Health, UCLA). Requested budget:

2,000, 000.

PI: NSF Applied Mathematics Program, Proposal: “NSF-EPRSC proposal:

Collaborative proposal: Stochastic non-smooth analyses for nonlinear dynamics

in energy harvesting,” Lead PI: Rachel Kuske (Mathematics, Georgia Tech), UK

PI: Daniil Yurcheko (Energy Engineering, Heriot Watt University, UK).

Requested budget: $443,012.

Co-PI: NSF Math RTG proposal: “RTG: Mission Possible: A Launch pad for a

diverse workforce in Mathematical Physiology,” PI: Vladimir Bondarenko, co-

PIs: Igor Belykh, Gennady Cymbalyuk, and Yaroslav Molkov. Requested budget:

2,059,444.

PAST FUNDING

Sole PI: NSF Applied Mathematics, DMS Grant 1616345: “Collective Dynamics

of Mechanical Systems with Applications to Bridge Modeling.” July 1, 2016 -

June 30, 2019. $271,229.

PI: US Army Research Office, Division: Network Science/Control & Dynamics,

$375,000, July 1, 2015- June 30, 2018. Grant W911NF-15-1-0267: “Dynamics

and Control of Switching Complex Networks.” Co-PI: M. Porfiri (New York

University Tandon School of Engineering).

Sole PI: NSF grant, DMS-1009744, Applied Mathematics Program, $206,350,

September 1, 2010- August 31, 2015. Title: DynSyst_Special_Topics: Time-

varying dynamical networks: theory and applications).

Sole PI: HSAP/URAP grant, US Army Research Office, $9,030, Summer 2016

(this grant is similar to NSF REU and funds high school students and undergrads).

PI: NSF Control and Systems Diagnostics Program, Conference Grant: “2016

IEEE Workshop on Complex Systems and Networks,” GSU, November 14-15,

2016. $5,000. This conference was also supported under a GSU Conference

Grant from the Office of the Vice President for Research (grant amount: $3,000,

PI: Igor Belykh), by City University of Hong Kong ($5,000), Georgia Tech

($3,000), and GSU (additional $5,000).

Sole PI: REU Supplement to the existing NSF grant, $12,500 (separate award).

Sole PI: GSU Brains and Behavior Program, $30,000, 2014-2015.

Title: Abnormal synchrony in evolving brain networks.

Co-PI: Conference grant for organizing the 2013 IEEE Workshop on Complex

Systems and Networks, Vancouver, Canada, December 11-13, 2013. [$12,480

received from the IEEE Circuits and Systems Society] .

Co-PI: Conference grant for organizing the 9th International Workshop on

Complex Systems and Networks, Institute for Mathematics and its Applications

(IMA) at the University of Minnesota, September 5-7, 2012. Support from the

IMA and IEEE Circuits and Systems Society. Support for 45 participants (IMA

facilities, lodging, and travel: $1,000/participant).

PI: Mentor Grant, Georgia State University Research Foundation, $ 11,000,

2009-2010; with Leonid Bunimovich (Georgia Tech) as Mentor.

Co-PI, GSU Brains and Behavior Program: $28,000, 2009-2010. Title:

Dynamical principles of multifunctional central pattern generators. PI: A.

Shilnikov.

Co-PI, GSU Brains and Behavior Program : $11,000, 2009-2010. Title: Modeling

and dynamical analysis of isolated cardiac cells and cells connected into

multicellular tissues ; PI: V. Bondarenko.

Invited Professor Grant, Swiss Federal Institute of Technology Lausanne, June

2009, Amount: $ 6,000.

PI, GSU Brains and Behavior Program: $21,000, 2007-2008. Title:

Synchronization in networks of bursting neurons.

PI, Grant from the International Cariplo Foundation, Como, Italy, 2007. $8,840.

Title: Pattern formation in ecological networks.

PI, GSU Research Foundation: $10,000, 2007-2008. Title: Pattern formation in

neuronal networks.

AWARDS AND FELLOWSHIPS

Outstanding Research Award, Department of Mathematics and Statistics, GSU,

2016.

Outstanding Research Award, Department of Mathematics and Statistics, GSU,

2014.

2012-2013 Best Associate Editor Award, IEEE Circuits and Systems Society. “In

recognition of outstanding performance as Associate Editor of the IEEE

Transactions on Circuits and Systems,” a flagship publication of the IEEE

Circuits and Systems Society.

Landau network-Centro Volta Fellowship for invited professors, Politecnico di

Milano, Milan, Italy, 2006-2007.

One-year scholarship from the Swiss Government, “Boursier de la Confédération,

1998-1999.

George Soros Fellowship for graduate students from Int. Science Foundation,

1995-1996, 1996-1997; 1997-1998.

EDITORIAL BOARDS

SIAM Journal on Applied Dynamical Systems.

IEEE Transactions on Circuits and Systems I: Regular Papers (terms 2012-2014,

2015-2017, 2020-2022). Best Editor Award for the 2012-2013 term.

Int. Journal of Bifurcation and Chaos.

IEEE Transactions on Circuits and Systems II: Express Briefs, (two terms served:

2008-2009, 2010-2011),

Int. Journal “Dynamics of Continuous, Discrete & Impulsive Systems. Series B:

Applications and Algorithms.”

http://tcas2.polito.it/

http://tcas2.polito.it/

http://monotone.uwaterloo.ca/~journal/

http://monotone.uwaterloo.ca/~journal/

IEICE journal “Nonlinear Theory and Applications.”

GRANT REVIEWER

NSF panelist, DMS, Applied Mathematics, 2011, 2012, 2013, 2017, 2018.

US Army Research Office.

German Research Foundation: Deutsche Forschungsgemeinschaft (DFG) .

Research Foundation – Flanders (Belgium).

MEMBERSHIP

Associate member of the Centre for Chaos Control and Synchronization, City

University of Hong Kong

Associate member of the INPSC Multidisciplinary Institute for Complex Systems,

Normandy, France.

Associate member of the Center for Nonlinear Science, Georgia Institute of

Technology.

CONFERENCE COMMITTEE MEMBERSHIP

International Program Committee, 9th International Conference on Physics and

Control (PhysCon-2019), Saratov, Russia, July 8-11, 2019.


Control (PhysCon-2017), Florence, Italy, July 17-19, 2017.

International Advisory Committee member, 6th International Conference on

Nonlinear Science and Complexity (NSC-2016), San Jose dos Campos, Brazil,

May 16-20, 2016.

International Program Committee member, 4th IFAC Conference on Analysis and

Control of Chaotic Systems (Chaos-2015), Tokyo, Japan, August 26-28, 2015.


Control (PhysCon-2015), Istambul, Turkey, August 19-22, 2015.

https://www.research-in-germany.org/en/research-funding/funding-organisations/deutsche-forschungsgemeinschaft-(dfg).html

https://www.research-in-germany.org/en/research-funding/funding-organisations/deutsche-forschungsgemeinschaft-(dfg).html

International Program Committee member, 6th International Scientific Conference

on Physics and Control, San Luis Potosi, Mexico (PHYSCON-2013), August 26-

29, 2013.

ORGANIZATION LEADERSHIP

Chair and main organizer of the 2016 IEEE Workshop on Complex Systems and

Networks,” GSU, November 14-15, 2016.

Managing Editor and co-organizer of a Focus Issue on Collective Dynamics of

Mechanical Oscillators and Beyond, Int. Journal Chaos (together with M. Porfiri,

NYU), November issue, 2016.

Co-organizer of the 2015 Annual Meeting for the Society for Mathematical

Biology, GSU, Atlanta, June 29-July 3rd, with over 450 people attending from 26

countries (organized together with Yi Jiang and Andrey Shilnikov (GSU),

Eberhard Voit and Howie Weiss (Georgia Tech), Ilya Nemenman (Emory

University), Meghan Burke (Kennesaw State), Ying Xu (UGA) and Arni

Srinivasa (Georgia Regents)).

Co-Editor of a Special Issue on Bio-Dynamics, Int. Journal of Bifurcation and

Chaos, June issue, 2015.

Co-organizer of the two-part minisymposium “Network synchronization of

mechanical systems and beyond,” 2015 SIAM Conference on Applications of

Dynamical Systems, Snowbird, USA, May 17-21, 2015.

Managing Editor and co-organizer of a Special Issue on Evolving Dynamical

Networks, Physica D (together with Mario di Bernardo (University of Bristol)

,Juergen Kurths (Humboldt University) and Maurizio Porfiri (NYU)), 2014.

Co-organizer of the 2013 IEEE Workshop on Complex Systems and Networks,

Vancouver, Canada, December 11-13, 2013.

Co-organizer of the minisymposium “Dynamics of evolving , switching, and

blinking networks,” 2013 SIAM Conference on Applications of Dynamical

Systems, Snowbird, USA, May 18-23, 2013.

Co-organizer of the 2012 International IEEE Workshop on Complex Systems and

Networks, Institute for Mathematics and its Applications (IMA) at University of

Minnesota, September 5-7, 2012.

http://www.siam.org/meetings/ds07/index.php




Co-organizer of the two-part minisymposium “Evolving dynamical networks,”

2015 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,

May 17-21, 2015.

Co-organizer of the 3rd Computational Neuroscience Workshop “Dynamics of

Bursting Activity of Neurons,” Atlanta, April 16-17, 2010.

Co-organizer of the minisymposium “Dynamics of time-varying networks,” 2009

SIAM Conference on Applications of Dynamical Systems, Snowbird, USA, May

17-21, 2009.

Co-organizer of the Atlanta Computational Neuroscience Workshop, April 7-8,

2008.

Co-organizer of the Applied Dynamical Systems and Math. Neuroscience

seminar, the Department of Mathematics and Statistics, GSU.

Co-organizer of the minisymposium “Structure and Dynamics of Complex

Networks” 2007 SIAM Conference on Applications of Dynamical

Systems, Snowbird, USA, May 28-June 1, 2007.

Co-organizer of the Int. Workshop “Origin and Regulation of Bursting Activity in

Neurons”, Atlanta, USA, 2006.

Co-organizer of the Int. Workshop “Nonlinear Dynamics Everywhere”, Swiss

Federal Institute of Technology, Lausanne, Switzerland, October 25-26, 2005.

Co-organizer of the minisymposium "Synchrony in Neural Networks," SIAM

conference on the Life Sciences, Portland, OR, 2004.

PUBLICATIONS

To date I have over 3,000 citations to my work by other researchers in the field, h-index:

21 (citations from my Google Scholar account).

Refereed papers and book chapters (* indicates students/postdocs directed):

Submitted:

[61] L. Tang*, K. Smith*, and I. Belykh, “When multilayer links exchange their roles in

synchronization,” Physical Review E.




http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6144

http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6144



[60] B. Brister*, V. Belykh, and I. Belykh, “When three is a crowd: chaos from clusters

in networks of Kuramoto oscillators with inertia,” Physical Review E.

[59] V. Belykh, N. Barabash, and I. Belykh, “Bifurcations of chaotic attractors in a

piecewise-smooth Lorenz-type system,” Journal of Automation and Remote Control.

[58] K. Daley*, K. Zhao*, and I. Belykh, “Synchronizability of directed networks: the

power of non-existent ties,” Chaos.

Published/Accepted:

[57] I. Belykh, D. Carter*, and R. Jeter*, “Synchronization in multilayer networks:

when good links go bad,” SIAM Journal on Applied Dynamical Systems, (to appear in

December 2019). https://doi.org/10.1137/19M1257123.

[56] V. Belykh, N. Barabash, and I. Belykh, “A Lorenz-type attractor in a piecewise-

smooth system: rigorous results,” Chaos, V. 29, 103108 (2019). This paper was chosen as

an Editor’s Pick.

[55] J. Ding, I. Belykh, A. Marandi, and M. Miri, Dispersive versus dissipative coupling

for frequency synchronization in lasers, Physical Review Applied, V. 12, 054039 (2019).

[54] R. Jeter*, M. Porfiri, and I. Belykh, “Dynamics and control of stochastically

switching networks: beyond fast switching,” in Temporal Network Theory, edited by

Petter Holme and Jari Saramaki, Computational Social Sciences Series, Springer, ISBN

978-3-030-23494-2, 2019, pp. 1-38.

[53] B. Brister*, V. Belykh, and I. Belykh, Multistable cluster rhythms in networks of

coupled rotators, Proceedings of the 9th International Scientific Conference on Physics

and Control (PHYSCON-2019), Moscow LLC Publising House Perro, ISBN 978-5-

00150-470-2, 2019, p. 32-36.

[52] M. Porfiri, R. Jeter*, and I. Belykh, “Windows of opportunity for the stability of

jump linear systems: almost sure versus moment convergence,” Automatica, V. 100, pp.

323-329 (2019).

[51] R. Jeter*, M. Porfiri, and I. Belykh, “ Overcoming network resilience to

synchronization through non-fast stochastic broadcasting,” Chaos, V. 28, 071104 (2018).

This paper was chosen as an Editor’s Pick.

[50] R. Jeter*, M. Porfiri, and I. Belykh, “Network synchronization through stochastic

broadcasting,” IEEE Control Systems Letters, V. 2, No 1, pp. 103-108 (2018).

[49] I. Belykh, R. Jeter*, and V. Belykh, “Foot force models of crowd dynamics on a

wobbly bridge,” Science Advances, V. 3, No 11, e1701512 (2017). Media coverage:

New York Times, Popular Science, Physics World, New Scientist, Science News,

Russia News Today, Welt der Physik (in German).

[48] R. Reimbayev*, K. Daley*, and I. Belykh, “When two wrongs make a right:

synchronized neuronal bursting from combined electrical and inhibitory coupling,”

Philosophical Transactions of the Royal Society A, V. 375, 20160282 (2017).

[47] M. Porfiri and I. Belykh, “Memory matters in synchronization of stochastically

coupled maps,” SIAM Journal on Applied Dynamical Systems, V. 16, No. 3, pp. 1372-

1396 (2017).

[46] R. Reimbayev*, K. Zhao*, and I. Belykh , “When repulsive inhibition promotes

synchrony of bursting neurons: Help from the enemy ,” Book chapter in “Challenges in

Complexity: Dynamics, Patterns, and Cognition,” Nonlinear Systems and Complexity

Series, Springer, 2017.

[45] O. Golovneva*, R. Jeter*, I. Belykh, and M. Porfiri, “Windows of opportunity for

synchronization in coupled stochastic maps,” Physica D, V. 340, pp. 1-13 (2017).

[44] I. Belykh and M. Porfiri, “Introduction: Collective dynamics of mechanical

oscillators and beyond,” Chaos, V. 26, 116101 (2016).

[43] I. Belykh, R. Jeter*, and V. Belykh, “Bistable gaits and wobbling induced by

pedestrian-bridge interactions,” Chaos, V. 26, 116314 (2016).

[42] I. Belykh, B. Brister*, and V. Belykh, “Bistability of patterns of synchrony in

Kuramoto oscillators with inertia,” Chaos, V. 26, 094822 (2016) (invited paper for a

Focus Issue on Pattern Synchronization).

[41] R. Jeter* and I. Belykh, “Synchronization of metapopulations with sporadic

dispersal,” Int. Journal of Bifurcation and Chaos, Vol. 25, No 7, 1540002 (2015).

[40] R. Jeter* and I. Belykh, “Synchronization in on-off stochastic networks: windows

of opportunity,” IEEE Transactions on Circuits and Systems I: Regular Papers, V. 62,

No 5, pp. 1260-1269 (2015).

[39] I. Belykh, R. Reimbayev*, and K. Zhao*, “Synergistic effect of repulsive inhibition

in synchronization of excitatory networks ,” Physical Review E, V. 91, 062919 (2015).

[38] I. Belykh and M. Hasler, “Patterns of synchrony in neuronal networks: the role of

synaptic inputs,” Book chapter in "Nonlinear Dynamics: New Directions", Eds. H.

Gonzalez-Aguilar and E. Ugalde, Nonlinear Systems and Complexity Series, V. 12,

Springer, pp. 1-28 (2015) (ISBN 978-3-319-09863-0).

[37] R. Jeter* and I. Belykh, “Dynamical networks with on-off stochastic connections:

beyond fast switching,” Proceedings of 2014 IEEE International Symposium on Circuits

and Systems, Melbourne, Australia, p. 1-4 (2014) (referred proceeding paper).

[36] R. Reimbayev* and I. Belykh, “When transitions between bursting modes induce

synchrony,” Int. Journal of Bifurcation and Chaos, Vol. 24, N. 8, 1440013 (9 pages)

(2014).

[35] I. Belykh, M. di Bernardo, J. Kurths, and M. Porfiri, “Evolving dynamical

networks,” Physica D, V. 267, pp. 1-6 (2014).

[34] I. Belykh, V. Belykh, R. Jeter*, and M. Hasler, “Multistable randomly switching

oscillators: the odds of meeting a ghost,” European Physical Journal Special Topics, V.

222, pp. 2497-2507 (2013).

[33] M. Hasler, V. Belykh, and I. Belykh, “Dynamics of stochastically blinking systems.

Part I: Finite time properties,” SIAM Journal on Applied Dynamical Systems, Vol. 12,

No. 2, pp. 1007–1030 (2013).

[32] M. Hasler, V. Belykh, and I. Belykh, “Dynamics of stochastically blinking systems.

Part II: Asymptotic properties,” SIAM Journal on Applied Dynamical Systems, Vol. 12,

No. 2, pp. 1031–1084 (2013).

[31] S. Jalil*, I. Belykh, and A. Shilnikov, “Spikes matter for phase-locked bursting in

inhibitory neurons,” Physical Review E, Vol. 85, 036214 (2012).

[30] I. Belykh and M. Hasler, “Dynamics of networks with stochastically switched

connections,” Proceedings of the ASME 2011 Dynamic Systems and Control Conference,

October 31 - November 2, 2011, Arlington, VA, USA, pages 1-7 (referred proceeding

paper).

[29] I. Belykh and M. Hasler, “Mesoscale and clusters of synchrony in networks of

bursting neurons,” Chaos, V. 21, 016106 (2011) (invited paper for a Focus issue

“Mesoscales in Complex Networks”).

[28] S. Jalil*, I. Belykh, and A. Shilnikov, “Fast reciprocal inhibition can synchronize

bursting neurons,” Physical Review E, V.81, 045201 (2010) .

[27] I. Belykh, S. Jalil*, and A. Shilnikov, “Burst-duration mechanism of in-phase

bursting in inhibitory networks,” Regular & Chaotic Dynamics, Vol. 15, no. 2-3, pp.

148-160 (2010).

[26] V. Belykh, I. Belykh, “Belykh map,” Scholarpedia, V. 6(10): 5545 (2009).

[25] I. Belykh, C. Piccardi, and S. Rinaldi, “Synchrony in tritrophic food chain

metacommunities,” Journal of Biological Dynamics, V. 3, no. 5, pp. 497 – 514 (2009).

[24] I. Belykh and A. Shilnikov, “When weak inhibition synchronizes strongly

desynchronizing networks of bursting neurons,” Physical Review Letters, V. 101, 078102

(2008) .

[23] A. Shilnikov, R. Gordon*, and I. Belykh, “Polyrhythmic synchronization in bursting

networking motifs,” Chaos, V. 18, 037120 (2008).

[22] I. Belykh, M. Hasler, and V. Belykh, “When symmetrization guarantees

synchronization in directed networks,” Int. Journal of Bifurcation and Chaos, V. 17,

no. 10, pp. 1-9 (2007).

[21] I. Belykh, V. Belykh, and M. Hasler, “Generalized connection graph method for

synchronization in asymmetrical networks,” Physica D, V. 224, pp. 42–51 (2006) (invited

paper for a Special issue “Dynamics on Complex Networks”).

[20] I. Belykh, V. Belykh, and M. Hasler, "Synchronization in asymmetrically coupled

networks with node balance," Chaos, V. 16, 015102 1-9 (2006) (invited paper for a

Focus issue “Stability and Pattern Formation in Dynamics on Networks”).

[19] I. Belykh, E. de Lange*, and M. Hasler, “Synchronization of bursting neurons:

what matters in the network topology,” Physical Review Letters, V. 94, 188101 (2005).

[18] M. Hasler and I. Belykh, “Blinking long-range connections increase the

functionality of locally connected networks,” IEICE Transactions on Fundamentals

(Oxford University Press), V. E88-A, N 10, pp. 2647-2655 (2005).

[17] I. Belykh, M. Hasler, M. Lauret*, and H. Nijmeijer, “Synchronization and graph

topology,” Int. Journal of Bifurcation and Chaos, Vol. 15, No 11, pp. 3423–3433

(2005) (invited tutorial).

[16] V. Belykh, I. Belykh, and E. Mosekilde, “The hyperbolic Plykin attractor can exist

in neuron models,” Int. Journal of Bifurcation and Chaos, Vol. 15, No 11, pp. 3567–

3578 (2005).

[15] I. Belykh, V. Belykh, and M. Hasler, “Blinking model and synchronization in

small-world networks with a time-varying coupling,” Physica D, V. 195/1-2, pp 188-206

(2004). (Top 10 cited Physica D paper, published in the previous five year period).

[14] V. Belykh, I. Belykh, and M. Hasler, “Connection graph stability method for

synchronized coupled chaotic systems,” Physica D, V. 195/1-2, pp. 159-187 (2004).

(The most cited paper of Physica D, published in the previous five year period).

[13] I. Belykh, V. Belykh, K. Nevidin, and M. Hasler, “Persistent clusters in lattices of

coupled nonidentical chaotic systems,” Chaos , V. 13, pp. 165-178 (2003).

[12] V. Belykh, I. Belykh, and M. Hasler, “Small-world networks: dynamical models

and synchronization,” Journal of Applied Nonlinear Dynamics, V. 11, N 3, pp 67-76

(2003).

[11] V. Belykh, I. Belykh, M. Hasler, and K. Nevidin, “Cluster synchronization in

three-dimensional lattices of diffusively coupled oscillators,” Int. Journal of Bifurcation

and Chaos, 2003, V.13, pp. 755-779 (2003).

[10] V. Belykh, I. Belykh, and K. Nevidin, “Spatiotemporal synchronization in lattices

of locally coupled oscillators,” Int. Journal Mathematics and Computers in Simulation

(NH Elsevier Publishing), Vol. 58, pp. 477-492 (2002).

[9] V. Belykh, I. Belykh, and E. Mosekilde, “Cluster synchronization modes in an

ensemble of coupled chaotic oscillators,” Physical Review E, Vol. 63, 036216 (2001).

[8] V. Belykh, I. Belykh, N. Komrakov, and E. Mosekilde, “Invariant manifolds and

cluster synchronization in a family of locally coupled map lattices,” Discrete Dynamics

in Nature and Society (Gordon and Breach Publishing, New York), V. 4, pp. 245-256

(2000).

[7] I. Belykh, V. Belykh, and M. Hasler, “Hierarchy and stability of partially

synchronous oscillations of diffusively coupled dynamical systems,” Physical Review E,

V. 62, N 5, pp. 6332-6345 (2000).

[6] V. Belykh, I. Belykh, E. Mosekilde, and M. Colding-Joergensen, “Homoclinic

bifurcations leading to bursting oscillations in cell models,” European Physical

Journal E, V. 3, N 3, pp. 205-219 (2000).

[5] V. Belykh, I.Belykh, and N. Verichev, “Global chaotic synchronization in coupled

Josephson junctions,” Radiophysics Quantum Electronics (Kluwer Academic

Publishing), V. 41, N 7, pp. 912-924 (1997).

[4] I. Belykh, “Neuron bifurcations and a way to model electrically coupled neurons by

using coupled mappings,” Radiophysics Quantum Electronics (Kluwer Academic

Publishing), V. 41, N. 12, pp. 1066-1071 (1998).

[3] I Belykh and N.N. Verichev, “Strange attractors and synchronization in coupled

oscillator-pendulum systems,” Bulletin of N. Novgorod University: Nonlinear Dynamics

and Chaos, V. 2, pp. 36-48 (1997).

[2] I. Belykh, “From chaos to synchronization in a coupled system of Josephson

junctions,” Bulletin of N. Novgorod University: Nonlinear Dynamics and Chaos (Edited

by M.I. Rabinovich), V. 1, pp. 159-164 (1996).

[1] I. Belykh, “Synchronization of diffusively coupled nonautonomous chaotic

pendulums,” Radiophysics Quantum Electronics (Kluwer Academic Publishing), V. 37,

http://lanoswww.epfl.ch/personal/ibelykh/MyFiles/Chaos.pdf

N 1-2, pp. 69-73 (1995).

Conference Proceedings (prior to 2011):

[20] M. Hasler, I. Belykh, and V. Belykh, “Classes of stochastically switched (blinking)

systems,”' Proceedings of the 2007 International Symposium on Circuits and Systems

(ISCAS-2007) , New Orleans, IEEE Press, pp. 1665-1668, 2007.

[19] I. Belykh, V. Belykh, M. Hasler, “Synchronization Stability in Oscillator Networks:

Solution for Asymmetrical Configurations,” Proceedings of the 3rd IFAC conference

“Periodic Control Systems,” St. Petersburg, Russia, International Federation of

Automatic Control Press, pp. 1-6, 2007.

[18] I. Belykh, M. Hasler, and V. Belykh , “Graph-based criteria for synchronization of

diffusively coupled oscillators,” Proceedings of the Int. Symposium on Nonlinear Theory

and its Applications (NOLTA-2006), Bologna, Italy, pp. 567-570, 2006.

[17] I. Belykh, E. de Lange, and M. Hasler, “Synchronization in pulse-coupled networks

of bursting neurons,” Proceedings of the Int. Symposium on Nonlinear Theory and its

Applications (NOLTA-2005), Bruges, Belgium, pp. 699-702, 2005.

[16] I. Belykh, V. Belykh, and M. Hasler ”Synchronization in complex networks with

blinking interactions,” Proceedings of the Int. Conference "Physics and Control 2005",

Saint Petersburg, Russia, 2005, CD: 1-4.

[15] M. Hasler and I. Belykh, “Blinking connections enhance locally coupled networks,”

Proceedings of the 2004 Int. Symposium on Nonlinear Theory and Applications

(NOLTA-2004), Japan, 2004, CD: pp. 1-4.

[14] I. Belykh, V. Belykh, and M. Hasler, “Blinking model and small-world networks

with a time-varying coupling,” Proceedings of the IEEE Int. Conference on Nonlinear

Dynamics of Electronic Systems (NDES'2003), Scuol, Switzerland, pp. 29-32, 2003.

[13] E. de Lange and I. Belykh, “Phase locking and coincidence detection in threshold

coupled neural oscillators,” Proceedings of the IEEE Int. Conference on Nonlinear

Dynamics of Electronic Systems (NDES'2003), Scuol, Switzerland, pp. 65-68, 2003.

[12] I. Belykh, V. Belykh, K. Nevidin, and M. Hasler, “Cluster synchronization in

lattices of diffusively coupled dynamical systems,” Proceedings of the Int. Conference

"Progress in Nonlinear Science" dedicated to the 100th Anniversary of A.A.Andronov,

N. Novgorod, Russia, V.3, pp. 139-143, 2001.

[11] I. Belykh, V. Belykh, K. Nevidin, and M. Hasler, “Spatiotemporal synchronization

in three-dimensional lattices of coupled chaotic systems,” Proceedings of the 2001 Int.

Symposium on Nonlinear Theory and its Applications (NOLTA-2001), pp. 87-90, Japan,

2001.

[10] I. Belykh, V. Belykh, K. Nevidin, and M. Hasler, “Partial synchronization in two-

dimensional lattices of coupled nonlinear systems,” Proceedings of the IEEE Conference

on Nonlinear Dynamics of Electronic Systems (NDES'2001), (Delft University

Press), pp. 197-200, Delft, 2001.

[9] I.V. Belykh and V.N. Belykh, “On partial synchronization of coupled continuous and

discrete time dynamical systems,” Proceedings of the 2000 IEEE Int. Symposium on

Circuits and Systems (ISCAS-2000), Vol. 3, pp. 483-486, Geneva, 2000.

[8] I.V. Belykh, “Embedded invariant manifolds and ordering of chaotic synchronization

of diffusevely coupled systems,” Proceedings of the Int. Conference COC-2000, V. 2, pp.

346-350, St.-Petersburg, 2000.

[7] I.V. Belykh and V.N. Belykh, “Full and partial chaotic synchronization of an array of

diffusively coupled dynamical systems,” Proceedings of the Int. Conference NDES-2000,

edited by G. Setti, R. Rovatti, and G. Mazzini (World Scientific Publishing), p. 223-237,

Catania, 2000.

[6] I.V. Belykh, “Neuron model bifurcations leading to bursting oscillations,"

Proceedings of the Int. Conference NOLTA-98 (Presses Polytechnique et Universitaires

Romandes), V. 3, pp. 1177-1181, Crans-Montana, Switzerland, 1998.

[5] I.V. Belykh, V.N. Belykh, and E. Mosekilde, “Bifurcations leading to bursting

oscillations in cell models,” Int. Conference “Pattern Formation and Chaos,” Saratov

University Press, 1998.

[4] I.V. Belykh, and N.N. Verichev, “Global synchronization and strange attractors in

coupled superconducting junctions,” Proceedings of the Int. Conference NDES-97

(Nonlinear Dynamics of Electronic Systems), pp. 145-149, Moscow, 1997.

[3] V.N. Belykh and I.V. Belykh, “Nonlocal Techniques for Chaotic Behavior and

Synchronization of Dynamical Systems,” Int. Conference “Nonlinear Dynamics and

Chaos. Applications in Physics, Biology and Medicine (ICND-96),” Saratov University

Press, 1996.

[2] I.V. Belykh and N.N. Verichev, “Strange attractors in systems of coupled

superconducting junctions,” Int. Conference "Contemporary Problems in Theory of

Dynamical Systems", Nizhny Novgorod University Press, 1996.

[1] I.V. Belykh, “Synchronization in an 1-D chain of diffusively coupled non-

autonomous chaotic pendulums,” Int. Conference "Wave phenomena and oscillations",

Nizhny Novgorod-Moscow, 1994.

PRESENTATIONS AT PROFESSIONAL MEETINGS (SINCE 2011)

1. 2019 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,

May 20th, 2019. Minisymposium co-organizer, invited talk: “On the

synchronization myth for lateral pedestrian-induced instability of suspension

bridges.”

2. Int. School and Workshop on Patterns of Synchrony: Chimera States and Beyond,

Trieste, Math 7th, 2019. Invited speaker, talk: “Patterns of synchrony in

networks of Kuramoto oscillators with inertia: multistability and chaos.”

3.

4. Int. Workshop “Dynamics of Coupled Oscillator Systems,” Berlin, Germany,

November 19-21, 2018. Invited speaker, talk: “When three is a crowd: chaos

from clusters in networks of Kuramoto oscillators with inertia.”

5. 5th Int. Conference “Strange Attractors Dynamics, Bifurcations, and,” N.

Novgorod, Russia, July 16-20, 2018. Invited speaker, talk: “Windows of

opportunity for stochastic networks of coupled maps.”

6. 7th International Conference on Nonlinear Science and Complexity, San Luis

Potosi, Mexico, August 14-17, 2018. Invited speaker, talk: “Crowd dynamics

and wobbling induced by pedestrian interactions.”

7. 12th Annual q-Bio Conference, Rice University, TX, June 26-29, 2018. Invited

speaker, talk: “Crowd dynamics on a wobbly bridge.”

8. Int. Conference “Frontiers of Mathematical Biology: Modeling, Computation and

Analysis,” the University of Central Florida, Orlando, FL, May 2-4, 2018. Invited

speaker, talk: “Foot force models of crowd dynamics on a wobbly bridge.”

9. 4th Int. Conference “Dynamics, Bifurcations, and Strange Attractors,” N.

Novgorod, Russia, July 2-9, 2017. Invited speaker, talk: “Complex dynamics of

pedestrian-bridge interactions.”

10. 4th Int. Conference “Dynamics, Bifurcations, and Strange Attractors,” N.

Novgorod, Russia, July 2-9, 2017. Invited speaker, talk: “Complex dynamics of

pedestrian-bridge interactions .”


May 21-25, 2017. Minisymposium co-organizer, invited talk: “Bistable gaits

and wobbling induced by pedestrian-bridge interactions.”

12. 13. 12th IFAC International Workshop on Adaptation and Learning in Control and

Signal Processing (in conjunction with the 6th IFAC International Workshop on

Periodic Control Systems), Eindhoven, The Netherlands, June 29-July 1, 2016.

Plenary speaker, talk: “Cooperative dynamics in brain networks and their

control.”

http://sciences.ucf.edu/math/mathbio/2018/04/19/frontier-of-mathematical-biology-modeling-computation-and-analysis/

http://sciences.ucf.edu/math/mathbio/2018/04/19/frontier-of-mathematical-biology-modeling-computation-and-analysis/

14. 2016 IEEE Int. Workshop on Complex Systems and Networks, Atlanta,

November 14-15, 2016. Main organizer, Invited speaker, talk: “Foot force

models of crowd dynamics on a wobbly bridge.”

15. 3rd Int. Conference “Dynamics, Bifurcations, and Strange Attractors,” N.

Novgorod, Russia, July 20-24, 2016. Invited speaker, talk: “Bifurcations and

crowd dynamics on a wobbly bridge.”

16. MBI workshop “The interplay of stochastic and deterministic dynamics in

networks” (Organizers: James Keener, Lai-Sang Young, and Ruth Williams),

Emphasis Semester on Dynamics of Biologically Inspired Networks,

Mathematical Biosciences Institute (MBI), Ohio State University, Columbus,

February 22-26, 2016. Invited speaker, talk: “Dynamics of stochastically

switching networks: windows of opportunity.”

17. International Workshop “Brain Modes,” Georgia State University, December 8th,

2015. Invited speaker, talk: “Neuronal dynamics from a complex network

perspective.”

18. 2015 Annual Meeting for the Society for Mathematical Biology, Atlanta, June 30-

July 2, 2015. Co-organizer, Invited speaker, talk: “When transition between

bursting modes induce synchrony.”

19. 2nd Int. Conference “Dynamics, Bifurcations, and Strange Attractors,” N.

Novgorod, Russia, July 20-24, 2015. Invited speaker.


May 17-21, 2015. Minisymposium co-organizer, invited talk: “When wind-

induced synchrony causes the instability of a bridge: When Millennium Meets

Tacoma.”

21. International Workshop “Advances in Discrete Networks,” Department of

Mathematics, University of Pittsburgh, December 12-14, 2014. Invited speaker,

talk “Repulsive inhibition promotes synchrony in excitatory bursting networks:

help from the enemy.”

22. IEEE International Symposium on Circuits and Systems (ISCAS-2014),

Melbourne, Australia, June 1-5, 2014. Invited speaker, talk: “Dynamical

networks with on-off stochastic connections: beyond fast switching.”

23. 2014 Georgia Scientific Computing Symposium, Kennesaw State University, GA,

February 22, 2014. Invited speaker, talk “Synchrony in neuronal networks: a

synergetic effect of excitation and inhibition.”

24. XXXIII Int. Conference “Dynamics Days,” Georgia Institute of Technology,

Atlanta, January 2-5, 2014. Contributed talk: “Multistable randomly switching

dynamical networks: the odds of meeting a ghost.”

25. 2013 IEEE International Workshop on Complex Systems and Networks, Simon

Fraser University, Vancouver, Canada, December 11-13, 2013. Co-organizer

and invited speaker, talk “Dynamical networks with on-off stochastic

connections.”


May 19-23, 2013 (Minisymposium "Dynamics of evolving, switching, and

blinking networks” (Co-organizer (together with Erik Bollt), invited talk:

“Multistable dynamics of stochastically switching networks.”

27. International Conference “Dynamics, Bifurcations, and Strange Attractors,”

dedicated to the memory of L.P. Shilnikov, Nizhny Novgorod, Russia, July 1-5,

2013. Invited speaker, talk: “Ghost attractors in randomly switched dynamical

systems.”

28. 9th International Workshop on Complex Systems and Networks, Institute for

Mathematics and its Applications (IMA) at University of Minnesota, September

5-7, 2012. Co-organizer and invited speaker, talk: “What matters for neuronal

synchronization.”

29. SIAM Conference on the Life Sciences, San Diego, USA, August 7-10, 2012.

Invited speaker, talk: “When Transitions Between Bursting Modes Induce

Network Synchrony.”

30. Carolina Dynamics Systems Conference, Clemson University, April 14th, 2012.

Invited speaker, talk: “Stochastically switched dynamical systems: the odds of

meeting a ghost.”

31. 7th Crimean School and Workshop on Emergent Dynamics of Oscillatory

Networks, Mellas, Crimea, Ukraine, May 20-27 2012. Invited speaker, talk:

“Mixed couplings and network synchronization: when friends turn enemies.”

32. “Network Frontier Workshop,” Northwestern University, Evanston, IL, December

1-12, 2011. Invited speaker, talk: "Synchronization in networks with mixed

graphs".

33. ASME 2011 Dynamic Systems and Control Conference, Arlington, VA, October

31 - November 2, 2011. Invited speaker, talk: “Dynamics of networks with

stochastically switched connections.”


May 22-26, 2011 . (Minisymposium "Evolving dynamical networks” (Co-

organizer (together with Juergen Kurths, Mario di Bernardo, and Maurizio

Porfiri), invited talk : “Asymptotic Behavior of Stochastically Blinking

Systems.”


May 22-26, 2011. Invited speaker: “Synchronization in networks with

disconnected components.”

IV. INSTRUCTION

Courses developed at Georgia State University:

New 8000-graduate level course “Advanced Mathematical Biology.” I taught

this course in Spring 2014 and Spring 2019.

New course “Mathematical Biology” proposed together with Dr. Shilnikov and

Dr. Smirnova. This 4000/6000 level course is cross-listed with the Department of

Biology. I taught this class for the first time in the 2008 spring semester.

New course “Advanced Topics in Ordinary Differential Equations and Dynamical

Systems” proposed together with Dr. Shilnikov.

New graduate level course "Dynamical Foundations of Neuroscience" proposed

together with Dr. Cymbalyuk (Physics) and Dr. Shilnikov (Neuroscience).

New graduate level course "Bioinformatics" proposed together with Dr.

Bondarenko.

Courses taught at Georgia State University:

Fall 2019

4010/6010 Mathematical Biology Teaching evaluation: N/A

2641 Linear Algebra Teaching evaluation: N/A

Spring 2019

8505 Advanced Mathematical Biology Teaching evaluation: 4.9 out of 5

Fall 2018

4265/6265 Partial Differential Equations Teaching evaluation: 4.9 out of 5

4010/6010 Mathematical Biology Teaching evaluation: 4.4 out of 5

Fall 2017


Fall 2016


Spring 2016

3260 Ordinary Differential Equations Teaching evaluation: 4.7 out of 5

Fall 2015



Fall 2014



Spring 2014

8505 Advanced Mathematical Biology Teaching evaluation: 4.9 out of 5

Fall 2013



Spring 2013

4275/6275 Applied Dynamical Systems Teaching evaluation: 4.9 out of 5

3435 Introductory Linear Algebra Teaching evaluation: 4.8 out of 5

Fall 2012

4010/6010 Mathematical Biology Teaching evaluation: 5 out of 5

Spring 2012


4275/6275 Applied Dynamical Systems (directed reading, two students: Victor Bailey

and Douglas Carter)

Spring 2011:

2215 Multivariate Calculus Teaching evaluation: 4.7 out of 5


Fall 2010:


Spring 2010:



Fall 2009:


Spring 2009:

4275/6275 Applied Dynamical Systems Teaching evaluation: 4.9 out of 5


Fall 2008:



Summer 2008:

3050 Geometry and Spatial Sense Teaching evaluation: 4.2 out of 5

Spring 2008:



Fall 2007:


1101 Intro to Mathematical Modeling for non-science majors. Teaching evaluation: 3.5

out of 5

Spring 2007:


2212 Calculus II Teaching evaluation: 4.2 out of 5

Fall 2006:



Spring 2006:

1220 Survey of calculus Teaching evaluation: 5 out of 5

2212 Calculus II Teaching evaluation: 4.6 out of 5.

Courses developed and taught at Swiss Federal Institute of Technology:

Dynamical Systems Theory for Engineers

(Specialization: Biocomputing).

2003-2004, 2004-2005

Direction of Individual Student Work (Ph.D/Master level)

Ph.D. student, Kevin Daley, Fall 2018-present. One journal paper published and one

under review. Multiple major conference presentations and abstracts published,

including the 2019 SIAM Conference on Applied Dynamical systems.

Ph.D. student, Barrett Brister, Spring 2016-present. Two papers published and one under

review. Multiple major conference presentations, including the 2019 SIAM Conference

on Applied Dynamical systems.

Ph.D. student, Kelley Smith, Fall 2018-present. One paper submitted.

Ph.D. student, Russell Jeter, Graduated in Spring 2018 (fully supported under the

2010-2015 NSF grant and the 2015-2018 US Army grant). Ten joint journal papers

published. First position: Postdoctoral Fellow in Machine Learning in Medicine,

Department of Biomedical Informatics, Emory University, Atlanta.

Ph.D. student, Reimbay Reimbayev, Graduated in Spring 2017 (supported through the

Brains & Behavior program). Three journal papers published. First position: Visiting

Assistant Professor, Department of Mathematics, Auburn University, Alabama.

Ph.D. student, Douglas Carter, Graduated in Spring 2016. Thesis: “Synchronization in

hypernetworks of dynamical systems.” First position: Tenure-Track Assistant Professor,

Department of Mathematics, Morehouse College, Atlanta.

Ph.D. student, Kun Zhao, Graduated in 2012 (funded under the 2010-2015 NSF grant).

Thesis: “Mathematical methods for network analysis, proteomics, and disease

prevention.” First position: Senior (Permanent) Researcher at the Centers for Disease

Control and Prevention (CDC).

Ph.D student, Sajiya Jalil (Mathematics), Graduated in 2012. Thesis: Stability analysis

of phase-locked bursting in inhibitory neuron networks. First position: Postdoc at the

University of Texas Health Science Center at Houston.

MS student, Malcom Devoe (Mathematics), Graduated in 2012. Thesis: “Cellular

neural networks with switching connections”. First position: Ph.D. student in Math

Education at GSU.

Ph.D student, Enno de Lange, doctoral work directed (Title: “Bifurcations in neuronal

models), Swiss Federal Institute of Technology, 2002-2005 (co-advised with Martin

Hasler).

MS student, Menno Lauret, 3-month traineeship supervised (thesis DCT 2004.105 “The

influence of network topology on synchronization,” Eindhoven University of Technology

Press, 2004; a joint paper in a referred international journal).

S. SERVICE

College of Arts and Sciences Executive Committee, (Fall 2018-present).

Search Committee for the Associate Dean for Research and Innovations (Fall

2018).

Executive Committee, Department of Mathematics and Statistics (Fall 2015-

present).

Neuroscience Qualifying Exam Committee, Summer 2014.

Director of Undergraduate Advisement, Department of Mathematics and

Statistics, GSU (2009-2015).

Brains and Behavior Program Ambassador (since 2013).

Reviewer for Brains & Behavior Seed Grants.

P&T Subcommittee for changing pre-tenure and post-tenure guidelines (Fall

2014).

2CI Hiring Committee (Fall 2013-Fall 2015).

PT&T Committee (since 2011).

Chair of Bioinformatics Hiring Committee (2010-2011).

Webmaster and Chair of Web Committee, Department of Mathematics and

Statistics (2008-2011).

Director of the Applied Mathematics and Analysis research group (since 2009).

Research Committee (since 2006).

Bioinformatics Hiring Committee (2007).

Graduate Committee, Bioinformatics Committee (since 2008).

Web Migration Committee, College of Arts and Sciences, GSU (since 2008-

2011).

Documents

Curriculum Vitae - Mathematics and Statistics · Control (PhysCon-2017), Florence, Italy, July 17-19, 2017. thInternational Advisory Committee member, 6 International Conference on