Synchronization [electronic resource] : From Simple to Complex /
Balanov, Alexander.author.
Janson, Natalia.author.
Postnov, Dmitry.author.
Sosnovtseva, Olga.author.
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.
Description based upon print version of record.
Includes bibliographical references (p. [413]-421) and index.
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.
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.
Statistical physics.
Dynamical systems.
Mathematical physics.
Engineering.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Engineering, general.
Statistical Physics and Dynamical Systems.
Springer series in synergetics