A comprehensive review of spatiotemporal pattern formation in systems driven away from
equilibrium is presented, with emphasis on comparisons between theory and quantitative …

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 …

Pattern formation in physical systems is one of the major research frontiers of mathematics.
A central theme of this book is that many instances of pattern formation can be understood …

It has become widely accepted that the most dangerous cardiac arrhythmias are due to
reentrant waves, ie, electrical wave (s) that recirculate repeatedly throughout the tissue at a …

Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

This book gives an introduction to the mathematical theory of cooperative behavior in active
systems of various origins, both natural and artificial. It is based on a lecture course in …

Starting from a two-variable system of reaction-diffusion equations, an algorithm is devised
for efficient simulation of waves in excitable media. The spatio-temporal resolution of the …

Spiral waves in diverse excitable media exhibit strikingly variegated behavior. Mechanistic
interpretations of excitability in laboratory systems are commonly tested by comparing the …

Excitable media are extended nonequilibrium systems having uniform rest states that are
linearly stable but susceptible to finite perturbations. Depending on the forms of these …