The paper is devoted to the review of the coherence resonance phenomenon in excitable
neural networks. In particular, we explain how coherence can be measured and how noise …

We review the behavior of theoretical models of excitable systems driven by Gaussian white
noise. We focus mainly on those general properties of such systems that are due to noise …

Chaotic dynamics has been reported in many physical systems and has affected almost
every field of science. Chaos involves hypersensitivity to the initial conditions of a system …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

Natural systems are undeniably subject to random fluctuations, arising from either
environmental variability or thermal effects. The consideration of those fluctuations supposes …

Interacting chaotic oscillators are of interest in many areas of physics, biology, and
engineering. In the biological sciences, for instance, one of the challenging problems is to …

Abstract We consider the FitzHugh-Nagumo system under the influence of white Gaussian
noise in the excitable regime. We present an analytical approximation in the limit of fast …

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied.
When the neurons are set in the subthreshold regime near the firing threshold, the additive …

The subject of our study is a two-state dynamics driven by Gaussian white noise and a weak
harmonic signal. The system resulting from a piecewise linear FizHugh-Nagumo model in …