Synchronization in Oscillatory Networks: Springer Series in Synergetics

Basics on Synchronization and Paradigmatic Models.- Basic Models.- Synchronization Due to External Periodic Forcing.- Synchronization of Two Coupled Systems.- Synchronization in Geometrically Regular Ensembles.- Ensembles of Phase Oscillators.- Chains of Coupled Limit-Cycle Oscillators.- Ensembles of Chaotic Oscillators with a Periodic-Doubling Route to Chaos, R#x00F6;ssler Oscillators.- Intermittent-Like Oscillations in Chains of Coupled Maps.- Regular and Chaotic Phase Synchronization of Coupled Circle Maps.- Controlling Phase Synchronization in Oscillatory Networks.- Chains of Limit-Cycle Oscillators.- Chains and Lattices of Excitable Luo–Rudy Systems.- Synchronization in Complex Networks and Influence of Noise.- Noise-Induced Synchronization in Ensembles of Oscillatory and Excitable Systems.- Networks with Complex Topology.

From the reviews:
"The book provides a good survey of published (and some unpublished) results on synchronization in networks of coupled oscillators and excitable systems. … The … chapter treats some selected recent results on the impact of complex network topology (e.g., small-world and scale-free networks) on synchronization, which is a topic of great interest that has attracted many researchers in recent years." (Takashi Nishikawa, Mathematical Reviews, Issue 2008 k)
"The book is composed of 14 chapters, with 221 figures and a list of 573 references. … This excellent book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models." (A. A. Martynyuk, Zentralblatt MATH, Vol. 1137 (15), 2008)

The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through life- and neurosciences to engineering, the economic and the social sciences. 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 the heart muscle - to name but a few. This book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.

First monograph on this topic Written by internationally known exerts in the field Includes supplementary material: sn.pub/extras