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Synchronization on coupled dynamical networks

Zheng, Zhi-gang and Feng, Xiao-qin and Ao, Bin and Cross, Michael C. (2006) Synchronization on coupled dynamical networks. Frontiers of Physics in China, 1 (4). pp. 458-467. ISSN 1673-3487. https://resolver.caltech.edu/CaltechAUTHORS:20191009-154950074

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Abstract

In this paper, partial synchronization (PaS) in networks of coupled chaotic oscillator systems and synchronization in sparsely coupled spatiotemporal systems are explored. For the PaS, we reveal that the existence of PaS patterns depends on the symmetry property of the network topology, while the emergence of the PaS pattern depends crucially on the stability of the corresponding solution. An analytical criterion in judging the stability of PaS state on a given network are proposed in terms of a comparison between the Lyapunov exponent spectrum of the PaS manifold and that of the transversal manifold. The competition and selections of the PaS patterns induced by the presence of multiple topological symmetries of the network are studied in terms of the criterion. The phase diagram in distinguishing the synchronous and the asynchronous states is given. The criterion in judging PaS is further applied to the study of synchronization of two sparsely coupled spatiotemporal chaotic systems. Different synchronization regimes are distinguished. The present study reveals the intrinsic collective bifurcation of coupled dynamical systems prior to the emergence of global synchronization.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s11467-006-0047-3DOIArticle
Additional Information:© 2006 Higher Education Press and Springer-Verlag. Received September 19, 2006. This work was supported in part by the key National Natural Science Foundation of China, the Foundation for the Author of National Excellent Doctoral Dissertation of China, the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of Ministry of Education, and the Foundation of Doctoral Training.
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of ChinaUNSPECIFIED
Foundation for the Author of National Excellent Doctoral Dissertation of ChinaUNSPECIFIED
Ministry of Education (Taipei)UNSPECIFIED
Subject Keywords:complex networks, synchronization, partial synchronization, chaos
Issue or Number:4
Classification Code:PACS: 05.45.-a, 82.40.Bj
Record Number:CaltechAUTHORS:20191009-154950074
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191009-154950074
Official Citation:Zheng, Z., Feng, X., Ao, B. et al. Front. Phys. China (2006) 1: 458. https://doi.org/10.1007/s11467-006-0047-3
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99203
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Oct 2019 22:59
Last Modified:09 Oct 2019 22:59

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