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Igor Belykh
Igor Belykh, Ph.D.
Associate Professor
Office: 470 Ten Park Place Building 
Phone: (404) 413-6411
Email: ibelykh@gsu.edu
Website: http://www2.gsu.edu/~matixb


    Education

    • Ph.D. in Mathematics, University of Nizhny Novgorod, Russia, 2000
    • Postdoc in Applied Mathematics and Computational Neuroscience, Swiss Federal Institute of Technology (EPFL), 2001-2005

    Research & Teaching

    Dr Belykh is a tenured Associate Professor of Applied Mathematics with a joint appointment as Associate Member of the Neuroscience Institute at Georgia State University. Dr Belykh is also an Associate Member of the Center for Nonlinear Study at Georgia Institute of Technology.

    Dr. Belykh research interests lie in complex dynamical systems and networks, mathematical biology and computational neuroscience, including pattern formation and information processing in biological and technological networks.

    Dr. Belykh serves as an Associate Editor of two major applied dynamical systems journals such as International J. Bifurcation and Chaos (term 2012-2014) and IEEE Transactions on Circuits and Systems I: Regular Papers (term 2012-2014).

    He also served two terms as an Associate Editor of IEEE Transactions on Circuits II (terms: 2008-2009 and 2010-2011). Dr. Belykh is also on the Editorial Board of Int. Journal Dynamics of Continuous, Discrete & Impulsive Systems. Series B: Applications and Algorithms , Journal of Nonlinear Systems and Applications (JNSA), and IEICE journal "Nonlinear Theory and Its Applications (NOLTA)".

    Dr. Belykh’s research is supported by the National Science Foundation.

    Selected Publications

    I. Belykh and M. Hasler, "Mesoscale and clusters of synchrony in networks of bursting neurons," Chaos, V. 21, 016106 (2011).

    S. Jalil, I. Belykh, and A. Shilnikov, "Fast reciprocal inhibition can synchronize bursting neurons," Physical Review E, V. 81, 045201(R) (2010).

    I. Belykh, S. Jalil, and A. Shilnikov, "Burst-duration mechanism of in-phase bursting in inhibitory networks," Regular & Chaotic Dynamics, 15(2-3), pp. 148-160 (2010).

    V. Belykh and I. Belykh, "Belykh attractor", Scholarpedia, 6(10): 5545 (2010).

    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) .

    I. Belykh and A. Shilnikov, "When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons," Physical Review Letters, V. 101, 078102 (2008).

    A. Shilnikov, R. Gordon, and I. Belykh, " "Polyrhythmic synchronization in bursting network motifs," Chaos, V. 18, 037120 (2008).

    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. 3387-3395 (2007).

    I. Belykh,  V. Belykh, and M. Hasler , "Generalized connection graph method for synchronization in asymmetrical networks", Physica D, V. 224, pp. 42–51 (2006) .

    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).

    I. Belykh, V. Belykh, and M. Hasler, "Generalized connection graph method for synchronization in asymmetrical networks", Physica D, V. 224, pp. 42–51 (2006).

    I. Belykh, V. Belykh, and M. Hasler, "Synchronization in asymmetrically coupled networks with node balance," Chaos, V. 16, 16, 015102 (2006).

    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).

    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).

    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).

    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).

    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).