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 …

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

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 …

We show that the correlation between the frequency of subthreshold pacemaker activity and
the response of an excitable array is resonantly dependent on the intensity of additive …

We study the phenomenon of spatial coherence resonance in a two-dimensional model of
excitable media with FitzHugh-Nagumo local dynamics. In particular, we show that there …

The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth
and depth over the past three decades. Its subject matter and applications encompass all …

We study the phenomenon of stochastic resonance on Newman–Watts small-world
networks consisting of biophysically realistic Hodgkin–Huxley neurons with a tunable …

We study the impact of additive Gaussian noise and weak periodic forcing on the dynamics
of a scale-free network of bistable overdamped oscillators. The periodic forcing is introduced …

We study effects of different network topologies on the noise-induced pattern formation in a
two-dimensional model of excitable media with FitzHugh–Nagumo local dynamics. In …

Large variety of physical, chemical, and biological systems show excitable behavior,
characterized by a nonlinear response under external perturbations: only perturbations …