TY - JOUR
T1 - The synchronization of chaotic systems
AU - Boccaletti, S.
AU - Kurths, J.
AU - Osipov, G.
AU - Valladares, D. L.
AU - ZHOU, Changsong
N1 - Funding Information:
The authors are grateful to V. Anishchenko, F.T. Arecchi, E. Barreto, V. Belykh, J. Bragard, S. Bressler, R. Brown, M.J. Bünner, T. Carroll, H. Chaté, A. Farini, A. Giaquinta, B. Gluckman, C. Grebogi, H. Kantz, L. Kocarev, K. Josić, Y.-C. Lai, A. Lemaitre, I. Leyva, R. Livi, H. Mancini, D. Maza, A.S. Mikhailov, E. Ott, U. Parlitz, L.M. Pecora, A. Pikovsky, A. Politi, I. Procaccia, M. Rabinovich, M.G. Rosenblum, R. Roy, N. Rulkov, S. de San Roman, T. Sauer, S. Schiff, V. Shalfeev, K. Showalter, P. So, M. Spano, A. Vallone, J. Yorke, M. Zaks, D.H. Zanette for the many past and present fruitful discussions on the subjects covered by this report. We acknowledge the Max Planck Institut für Physik komplexer Systeme for having hosted us during the final preparation of the present paper, in connection with the Seminar on Control, Communication and Synchronization in Chaotic Dynamical Systems (October 14–November 23, 2001). Work partly supported by EEC Network n. HPRN-CT-2000-00158. J. Kurths acknowledges the SFB 555 and DFG Research Group “Conflicting Rules in Cognitive Systems”. G. Osipov acknowledges the INTAS Project 01-867. C.S. Zhou was supported by the Humboldt Foundation (Germany).
PY - 2002
Y1 - 2002
N2 - 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 forming 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.
AB - 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 forming 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.
UR - http://www.scopus.com/inward/record.url?scp=0036285235&partnerID=8YFLogxK
U2 - 10.1016/S0370-1573(02)00137-0
DO - 10.1016/S0370-1573(02)00137-0
M3 - Review article
AN - SCOPUS:0036285235
SN - 0370-1573
VL - 366
SP - 1
EP - 101
JO - Physics Reports
JF - Physics Reports
IS - 1-2
ER -