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 …

Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

We use the concept of phase synchronization for the analysis of noisy nonstationary
bivariate data. Phase synchronization is understood in a statistical sense as an existence of …

We study synchronization transitions in a system of two coupled self-sustained chaotic
oscillators. We demonstrate that with the increase of coupling strength the system first …

In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

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 extend the notion of phase locking to the case of chaotic oscillators. Different definitions
of the phase are discussed. and the phase dynamics of a single self-sustanined chaotic …

Interacting chaotic oscillators are of interest in many areas of physics, biology, and
engineering. In the biological sciences, for instance, one of the challenging problems is to …

We propose a technique to control coherent collective oscillations in ensembles of globally
coupled units (self-sustained oscillators or maps). We demonstrate numerically and …