Synchronization in Oscillatory Networks

The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging fr

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ries in Synergetics Founding Editor: H. Haken

The Springer Series in Synergetics was founded by Herman Haken in 1977. Since then, the series has evolved into a substantial reference library for the quantitative, theoretical and methodological foundations of the science of complex systems. Through many enduring classic texts, such as Haken’s Synergetics and Information and Self-Organization, Gardiner’s Handbook of Stochastic Methods, Risken’s The Fokker Planck-Equation or Haake’s Quantum Signatures of Chaos, the series has made, and continues to make, important contributions to shaping the foundations of the field. The series publishes monographs and graduate-level textbooks of broad and general interest, with a pronounced emphasis on the physico-mathematical approach.

Editorial and Programme Advisory Board ´ P´eter Erdi Center for Complex Systems Studies, Kalamazoo College, USA, and Hungarian Academy of Sciences, Budapest, Hungary

Karl Friston Institute of Cognitive Neuroscience, University College London, London, UK

Hermann Haken Center of Synergetics, University of Stuttgart, Stuttgart, Germany

Janusz Kacprzyk System Research, Polish Academy of Sciences, Warsaw, Poland

Scott Kelso Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca Raton, USA

J¨urgen Kurths Nonlinear Dynamics Group, University of Potsdam, Potsdam, Germany

Linda Reichl Center for Complex Quantum Systems, University of Texas, Austin, USA

Peter Schuster Theoretical Chemistry and Structural Biology, University of Vienna, Vienna, Austria

Frank Schweitzer System Design, ETH Zurich, Zurich, Switzerland

Didier Sornette Entrepreneurial Risk, ETH Zurich, Zurich, Switzerland

Grigory V. Osipov Changsong Zhou

Jürgen Kurths

Synchronization in Oscillatory Networks With 221 Figures

Professor Dr. Grigory V. Osipov Department of Radiophysics Nizhny Novgorod University 23, Gagarin Avenue 603600 Nizhny Novgord, Russia

Professor Dr. Jürgen Kurths Institute of Physics University of Potsdam Am Neuen Palais 19 14469 Potsdam, Germany

Dr. Changsong Zhou Institute of Physics University of Potsdam Am Neuen Palais 19 14469 Potsdam, Germany

Library of Congress Control Number: 2007927818 ISSN 0172-7389 ISBN 978-3-540-71268-8 Springer Berlin Heidelberg New York This work is subject to copyright.All rights are reserved,whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, etc. in this publication does