Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …

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 …

Cellular automata Page 2 Lecture Notes in Computer Science 3305 Commenced
Publication in 1973 Founding and Former Series Editors: Gerhard Goos, Juris Hartmanis …

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 …

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 …

Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

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 …

Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …