Andrey Shilnikov

Igor Belykh

Assistant Professor

Office: 704 COE
Office phone:  404.413.6411
E-mail:  matixb [at]langate.gsu.edu
Personal webpage

Education

M.S.  Physics and Mathematics, University of Nizhny Novgorod, Russia, 1995
Ph.D. Mathematics, University of Nizhny Novgorod, Russia, 2000

Research & Teaching

Dr. Belykh's research interests include Dynamical systems, Bifurcation and Chaos, Complex Networks, Mathematical Neuroscience

Selected Publications

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).