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 …

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 discuss the numerical solution of a number of stochastic perturbations of the Barkley
model of excitable media, widely used in the study of spiral waves. Two numerical methods …

We discuss the influence of additive, spatiotemporally correlated (ie, colored) noise on
pattern formation in a two-dimensional network of excitable systems. The signature of …

We investigate the energy transport in simple networks consisting of one-dimensional
nonlinear chain with self-coupled loop. The impacts of the loop length and coupling strength …

We study the dynamics of excitation pulses in a modified Oregonator model for the light-
sensitive Belousov-Zhabotinsky (BZ) reaction assuming that the intensity of the applied …

We present numerical evidence that, in the presence of a suitable electric field, an isolated
broken plane wave retracting originally in subexcitable media can propagate continuously …

The effect of noise on the pattern selection in a regular network of Hodgkin–Huxley neurons
is investigated, and the transition of pattern in the network is measured from subexcitable to …

Horizontal mixing has been found to play a crucial role in the development of spatial
plankton structures in the ocean. We study the influence of time and length scales of two …