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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: ibelykh@gsu.edu
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”].
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.”
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.
International Program Committee, 8th International Conference on Physics and
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.
International Program Committee, 7th International Conference on Physics and
Control (PhysCon-2015), Istambul, Turkey, August 19-22, 2015.
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.
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.
[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,
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 .”
11. 2017 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,
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.”
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.
20. 2015 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,
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.”
26. 2013 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,
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.”
34. 2011 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,
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.”
35. 2011 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA,
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
4010/6010 Mathematical Biology Teaching evaluation: 4.7 out of 5
Fall 2016
4265/6265 Partial Differential Equations Teaching evaluation: 4.8 out of 5
Spring 2016
3260 Ordinary Differential Equations Teaching evaluation: 4.7 out of 5
Fall 2015
4010/6010 Mathematical Biology Teaching evaluation: 4.2 out of 5
4265/6265 Partial Differential Equations Teaching evaluation: 4.8 out of 5
Fall 2014
4010/6010 Mathematical Biology Teaching evaluation: 4.8 out of 5
4265/6265 Partial Differential Equations Teaching evaluation: 4.7 out of 5
Spring 2014
8505 Advanced Mathematical Biology Teaching evaluation: 4.9 out of 5
Fall 2013
4010/6010 Mathematical Biology Teaching evaluation: 4.9 out of 5
4265/6265 Partial Differential Equations Teaching evaluation: 4.8 out of 5
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
3260 Ordinary Differential Equations Teaching evaluation: 4.9 out of 5
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
4010/6010 Mathematical Biology Teaching evaluation: 5 out of 5
Fall 2010:
2215 Multivariate Calculus Teaching evaluation: 4.8 out of 5
Spring 2010:
4010/6010 Mathematical Biology Teaching evaluation: 5 out of 5
3260 Ordinary Differential Equations Teaching evaluation: 4.6 out of 5
Fall 2009:
4265/6265 Partial Differential Equations Teaching evaluation: 4.7 out of 5
Spring 2009:
4275/6275 Applied Dynamical Systems Teaching evaluation: 4.9 out of 5
2215 Multivariate Calculus Teaching evaluation: 4.6 out of 5
Fall 2008:
3260 Ordinary Differential Equations Teaching evaluation: 4.8 out of 5
2215 Multivariate Calculus Teaching evaluation: 4.7 out of 5
Summer 2008:
3050 Geometry and Spatial Sense Teaching evaluation: 4.2 out of 5
Spring 2008:
4010/6010 Mathematical Biology Teaching evaluation: 4.7 out of 5
3435 Introductory Linear Algebra Teaching evaluation: 4.8 out of 5
Fall 2007:
3260 Ordinary Differential Equations Teaching evaluation: 4.8 out of 5
1101 Intro to Mathematical Modeling for non-science majors. Teaching evaluation: 3.5
out of 5
Spring 2007:
2215 Multivariate Calculus Teaching evaluation: 4.4 out of 5
2212 Calculus II Teaching evaluation: 4.2 out of 5
Fall 2006:
2215 Multivariate Calculus Teaching evaluation: 4.5 out of 5
3435 Introductory Linear Algebra Teaching evaluation: 4.5 out of 5
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).
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