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 …

This review covers the group of data-analysis techniques collectively referred to as
symbolization or symbolic time-series analysis. Symbolization involves transformation of raw …

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 …

This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …

Intended for graduate students and researchers in physics, chemistry, biology, and applied
mathematics, this book provides an up-to-date introduction to current research in fluctuations …

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

We review experimental and theoretical studies on the design and control of spatiotemporal
behavior in chemical systems. A wide range of approaches have been pursued to control …

This paper shows how adaptive systems can learn to add an optimal amount of noise to
some nonlinear feedback systems. This" stochastic resonance"(SR) effect occurs in a wide …

We demonstrate the effect of coherence resonance in a heterogeneous array of coupled Fitz
Hugh–Nagumo neurons. It is shown that coupling of such elements leads to a significantly …

We study the response of one-and two-dimensional excitable media to external
spatiotemporal noise in terms of synchronization. The media are modeled by a finite-size …