The synchronization of chaotic systems

Year: 2002

Authors: Boccaletti S., Kurths J., Osipov G., Valladares D.L., Zhou C.S.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Department of Physics and Applied Mathematics, Institute of Physics, Universidad de Navarra, Irunlarrea s/n, 31080 Pamplona, Spain; Institut für Physik, Universität Potsdam, 14415 Potsdam, Germany; Department of Radiophysics, Nizhny Novgorod University, Nizhny Novgorod 603600, Russia; Department of Physics, Universidad Nactional de San Luis, Argentina

Abstract: Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either equivalent or nonequivalent) adjust a given property of their motion to a common behavior due to a coupling or to a forcing (periodical or noisy). We review major ideas involved in the field of synchronization of chaotic systems, and present in detail several types of synchronization features: complete synchronization, lag synchronization, generalized synchronization, phase and imperfect phase synchronization. We also discuss problems connected with characterizing synchronized states in extended pattern fort-ning systems. Finally, we point out the relevance of chaos synchronization, especially in physiology, nonlinear optics and fluid dynamics, and give a review of relevant experimental applications of these ideas and techniques. (C) 2002 Published by Elsevier Science B.V.

Journal/Review: PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS

Volume: 366 (1-2)      Pages from: 1  to: 101

KeyWords: COUPLED NONLINEAR OSCILLATORS; DELAYED DYNAMICAL-SYSTEMS; GINZBURG-LANDAU EQUATIONS; ON-OFF INTERMITTENCY; NONIDENTICAL EXTENDED SYSTEMS
DOI: 10.1016/S0370-1573(02)00137-0

Citations: 2228
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