Eur. Phys. J. Special Topics 222, 2407-2416 (2013)
https://doi.org/10.1140/epjst/e2013-02025-8

Regular Article

From complete to modulated synchrony in networks of identical Hindmarsh-Rose neurons

Institute of Physics and Astronomy, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476 Potsdam-Golm, Germany

^a e-mail: mros@uni-potsdam.de

Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013

Abstract

In most cases tendency to synchrony in networks of oscillatory units increases with the coupling strength. Using the popular Hindmarsh-Rose neuronal model, we demonstrate that even for identical neurons and simple coupling the dynamics can be more complicated. Our numerical analysis for globally coupled systems and oscillator lattices reveals a new scenario of synchrony breaking with the increase of coupling, resulting in a quasiperiodic, modulated synchronous state.