Synchronization is a universal phenomenon that is encountered in nature, science and engineering. The book presents a broad view of modern theoretical and experimental approaches to synchronization, especially in complex and chaotic systems, and its applications in life sciences and engineering. Contributors include applied mathematicians, physicists, biologists, and specialists in communications and control theory. The study of synchronization is presented in its many aspects: basic mathematical theory, numerical simulation of complex systems, applications of methods in theoretical physics, experimental implementation, and applications in engineering and life sciences.

Inhalt

Cycling attractors of coupled cell systems and dynamics with symmetry.- Modelling diversity by chaos and classification by synchronization.- Basic Principles of Direct Chaotic Communications.- Prevalence of Milnor Attractors and Chaotic Itinerancy in 'High'-dimensional Dynamical Systems.- Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity.- Synchronization and clustering in ensembles of coupled chaotic oscillators.- Nonlinear Phenomena in Nephron-Nephron Interaction.- Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units.- Phase synchronization of regular and chaotic self-sustained oscillators.- Control of dynamical systems via time-delayed feedback and unstable controller.