Synchronization: From Simple to Complex [Hardcover]

Synchronization: From Simple to Complex 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 human heart to neural networks. The authors study this phenomenon as applied to oscillations of different nature such as those with periodic, chaotic, noisy and noise-induced nature, reveal the general mechanisms behind synchronization, and bring to light other important effects that accompany synchronization such as phase multistability, dephasing and multimode interaction. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating system can be described in the framework of the general approach.

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.From the reviews: The book combines an introduction to synchronization phenomena with the presentation of some classical results & and of the recent contributions of the authors to the popular and rapidly developing field & . can be recommended as a first reading for graduate and postgraduate students. (Michael Rosenblum, Mathematical Reviews, Issue 2010 b)

Alexander Balanov: graduated from Saratov State UniverlcÜ