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Synchronization

Theory and Application

  • Book
  • © 2003

Overview

Editors:
  1. Arkady Pikovsky

    1. University of Potsdam, Potsdam, Germany

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    You can also search for this editor in PubMed   Google Scholar

  2. Yuri Maistrenko

    1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 109)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
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  2. Cycling Attractors of Coupled Cell Systems and Dynamics with Symmetry

    • Peter Ashwin, Alastair M. Rucklidge, Rob Sturman
    Pages 5-23

  3. Modelling Diversity by Chaos and Classification by Synchronization

    • Oscar de Feo, Martin Hasler
    Pages 25-40

  4. Basic Principles of Direct Chaotic Communications

    • A. S. Dmitriev, M. Hasler, A. I. Panas, K. V. Zakharchenko
    Pages 41-63

  5. Prevalence of Milnor Attractors and Chaotic Itinerancy in ’High’-Dimensional Dynamical Systems

    • Kunihiko Kaneko
    Pages 65-77

  6. Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity

    • S. P. Kuznetsov
    Pages 79-100

  7. Synchronization and Clustering in Ensembles of Coupled Chaotic Oscillators

    • Yu. Maistrenko, O. Popovych, S. Yanchuk
    Pages 101-138

  8. Nonlinear Phenomena in Nephron-Nephron Interaction

    • E. Mosekilde, O. V. Sosnovtseva, N.-H. Holstein-Rathlou
    Pages 139-174

  9. Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units

    • Edward Ott, Paul So, Ernest Barreto, Thomas Antonsen
    Pages 175-186

  10. Phase Synchronization of Regular and Chaotic Self-Sustained Oscillators

    • Arkady S. Pikovsky, Michael G. Rosenblum
    Pages 187-219

  11. Control of Dynamical Systems Via Time-Delayed Feedback and Unstable Controller

    • K. Pyragas
    Pages 221-256

  12. Back Matter

    Pages 257-258
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Keywords

About this book

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.

Editors and Affiliations

  • University of Potsdam, Potsdam, Germany

    Arkady Pikovsky

  • Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Yuri Maistrenko

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