Publications

I. Belykh, R. Reimbayev, and K. Zhao, "Synergistic effect of repulsive inhibition in synchronization of excitatory networks," Physical Review E, V. 91, 062919 (2015).
R. Jeter and I. Belykh, " Synchronization of metapopulations with sporadic dispersal," Int. Journal of Bifurcation and Chaos, Vol. 25, No 7, 1540002, 2015.
R. Jeter and I. Belykh, " Synchronization in on-off stochastic networks: windows of opportunity," IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 61, No. 5, pp 1260-1269, 2015.
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).
R. Jeter and I. Belykh, "Dynamical networks with on-off stochastic connections: beyond fast switching," Proceedings ISCAS 2014, June 1-5, 2014, Melbourne, Australia pp 1-4.
R. Reimbayev and I. Belykh, "When transitions between bursting modes induce neural synchrony," Int. Journal of Bifurcation and Chaos, V. 24, No. 8, 1440013 (2014)
I. Belykh, M. di Bernardo, J. Kurths, and M.Porfiri, "Evolving dynamical networks," Physica D, V. 267, pp. 1-6 (2014)
I. Belykh, V. Belykh, R. Jeter, and M. Hasler, "Multistable randomly switching oscillators: the odds of meeting a ghost," European Physical Journal Special Topics, Vol. 222, No. 10, pp. 2497-2507, 2013.
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).
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).
S. Jalil, I. Belykh, and A. Shilnikov, "Spikes matter for phase-locked bursting in inhibitory neurons," Physical Review E 85, 036214 (2012).
I. Belykh and M. Hasler, "Mesoscale and clusters of synchrony in networks of bursting neurons," Chaos, V. 21, 016106 (2011).
I. Belykh and M.Hasler, "Dynamics of networks with stichastically switched connections," Proceedings of the ASME 2011 Dynamic Systems and Control Conference, October 31 - November 2, 2011, Arlington, VA, USA, pages 1-7.
S. Jalil, I. Belykh, and A. Shilnikov, "Fast reciprocal inhibition can synchronize bursting neurons," Physical Review E, V. 81, 045201(R) (2010).