Arkady Pikovsky / Y.L. Maistrenko (eds.)

Synchronization

Theory and Application
Herausgegeben:Pikovsky, Arkady; Maistrenko, Y. L.

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• NATO Science Series II Mathematics, Physics and Chemistry 109
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-1-4020-1416-1
• 2003
• Seitenzahl: 264
• Erscheinungstermin: 30. Juni 2003
• Englisch
• Abmessung: 241mm x 160mm x 19mm
• Gewicht: 549g
• ISBN-13: 9781402014161
• ISBN-10: 1402014163
• Artikelnr.: 21987748

Inhaltsangabe

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.

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Preface
1. Introduction
Part I. Synchronization Without Formulae: 2. Basic notions: the self-sustained oscillator and its phase
3. Synchronization of a periodic oscillator by external force
4. Synchronization of two and many oscillators
5. Synchronization of chaotic systems
6. Detecting synchronization in experiments
Part II. Phase Locking and Frequency Entrainment: 7. Synchronization of periodic oscillators by periodic external action
8. Mutual synchronization of two interacting periodic oscillators
9. Synchronization in the presence of noise
10. Phase synchronization of chaotic systems
11. Synchronization in oscillatory media
12. Populations of globally coupled oscillators
Part III. Synchronization of Chaotic Systems: 13. Complete synchronization I: basic concepts
14. Complete synchronization II: generalizations and complex systems
15. Synchronization of complex dynamics by external forces
Appendix 1. Discovery of synchronization by Christiaan Huygens
Appendix 2. Instantaneous phase and frequency of a signal
References
Index.