Synchronization: From Simple to Complex

Dr. Alexander Balanov, Dr. Natalia Janson, Prof. Dmitry Postnov, Dr. Olga Sosnovtseva (auth.)3540721274, 9783540721277

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.

Table of contents :
Front Matter….Pages i-xvii
Introduction….Pages 1-3
Front Matter….Pages 5-5
General Remarks….Pages 9-19
1 : 1 Forced Synchronization of Periodic Oscillations….Pages 21-73
1 : 1 Mutual Synchronization of Periodic Oscillations….Pages 75-104
Homoclinic Mechanism of Synchronization of Periodic Oscillations….Pages 105-120
n  :  m Synchronization of Periodic Oscillations….Pages 121-148
1 : 1 Forced Synchronization of Periodic Oscillations in the Presence of Noise….Pages 149-190
Chaos Synchronization….Pages 191-238
Synchronization of Noise-Induced Oscillations….Pages 239-258
Conclusions to Part I….Pages 259-260
Front Matter….Pages 261-261
Synchronization of Anisochronous Oscillators….Pages 265-315
Phase Multistability….Pages 317-352
Synchronization in Systems with Complex Multimode Dynamics….Pages 353-376
Synchronization of Systems with Resource Mediated Coupling….Pages 377-409
Conclusions to Part II….Pages 411-412
Back Matter….Pages 413-425