Synchronization : from simple to complex

Author(s)

Bibliographic Information

Synchronization : from simple to complex

Alexander Balanov ... [et al.]

(Springer series in synergetics)(Springer complexity)

Springer, c2009

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Other authors: Natalia Janson, Dmitry Postnov, Olga Sosnovtseva

Includes bibliographical references and index

Description and Table of Contents

Description

This fascinating work is devoted to the fundamental phenomenon in physics - synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Table of Contents

General Mechanisms of Synchronization.- General Remarks.- 1?:?1 Forced Synchronization of Periodic Oscillations.- 1?:?1 Mutual Synchronization of Periodic Oscillations.- Homoclinic Mechanism of Synchronization of Periodic Oscillations.- n?:?m Synchronization of Periodic Oscillations.- 1?:?1 Forced Synchronization of Periodic Oscillations in the Presence of Noise.- Chaos Synchronization.- Synchronization of Noise-Induced Oscillations.- Conclusions to Part I.- Case Studies in Synchronization.- Synchronization of Anisochronous Oscillators.- Phase Multistability.- Synchronization in Systems with Complex Multimode Dynamics.- Synchronization of Systems with Resource Mediated Coupling.- Conclusions to Part II.

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