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Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators

Zheng, Zhigang and Wang, Xingang and Cross, Michael C. (2002) Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators. Physical Review E, 65 (6). Art. no. 056211. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:ZHEpre02

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Abstract

Generalized synchronization in an array of mutually (bidirectionally) coupled nonidentical chaotic oscillators is studied. Coupled Lorenz oscillators and coupled Lorenz-Rossler oscillators are adopted as our working models. With increasing the coupling strengths, the system experiences a cascade of transitions from the partial to the global generalized synchronizations, i.e., different oscillators are gradually entrained through a clustering process. This scenario of transitions reveals an intrinsic self-organized order in groups of interacting units, which generalizes the idea of generalized synchronizations in drive-response systems.


Item Type:Article
Additional Information:©2002 The American Physical Society Received 10 December 2001; revised 29 January 2002; published 8 May 2002 Stimulating discussions with Prof. Gang Hu, Dr. Daihai He, and Dr. Meng Zhan are gratefully acknowledged. This work is supported by the National Natural Science Foundation of China, the Special Funds for Major State Basic Research Projects, the Foundation for University key teacher by the Ministry of Education, Special Funds for Excellent Doctoral Dissertations, the TRAPOYT in Higher Education Institutions of MOE, and the Huo-Ying-Dong Educational Funds for Excellent Young Teachers.
Record Number:CaltechAUTHORS:ZHEpre02
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ZHEpre02
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.65.056211
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1844
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Feb 2006
Last Modified:26 Dec 2012 08:46

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