Synchronization : theory and application : proceedings of the NATO Advanced Study Institute, Yalta Region, Crimea, 20-31 May 2002

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. Front Matter....Pages i-viii Cycling Attractors of Coupled Cell Systems and Dynamics with Symmetry....Pages 5-23 Modelling Diversity by Chaos and Classification by Synchronization....Pages 25-40 Basic Principles of Direct Chaotic Communications....Pages 41-63 Prevalence of Milnor Attractors and Chaotic Itinerancy in ’High’-Dimensional Dynamical Systems....Pages 65-77 Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity....Pages 79-100 Synchronization and Clustering in Ensembles of Coupled Chaotic Oscillators....Pages 101-138 Nonlinear Phenomena in Nephron-Nephron Interaction....Pages 139-174 Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units....Pages 175-186 Phase Synchronization of Regular and Chaotic Self-Sustained Oscillators....Pages 187-219 Control of Dynamical Systems Via Time-Delayed Feedback and Unstable Controller....Pages 221-256 Back Matter....Pages 257-258