Synchronization in oscillatory networks (Q2464633)

The book is composed of 14 chapters, with 221 figures and a list of 573 references. The main problems considered in the book are: (1) Existence, formation and stability of global and claster synchronization; (2) Characteristics of synchronization regime such as the distribution over the network of residual errors in the phase and the frequency of synchronization; (3) Conditions and ways of entering different synchronization regimes and conditions and ways of their violation (de-synchronization) in time and space; (4) Characteristics of non-synchronous regime; (5) Possibilities of controlling synchronization; (6) Influence of specific oscillatory properties of single elements on the synchronization transitions; (7) Common principles of synchronization phenomena for different networks; (8) Influence of coupling schemes on synchronization. The authors also focus on effects of noise, which is typical in many natural and experimental systems, on synchronization and synchronization-like phenomena in networks of oscillatory and excitable elements. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through life- and neurosciences to engineering, economic and social sciences. This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such that as electric power grids, lasers or the heat muscle -- to name but a few. 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.