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Title: Characterizing generalized synchronization in complex networks
Authors: Guan, S. 
Gong, X. 
Li, K. 
Liu, Z.
Lai, C.-H. 
Issue Date: 30-Jul-2010
Citation: Guan, S., Gong, X., Li, K., Liu, Z., Lai, C.-H. (2010-07-30). Characterizing generalized synchronization in complex networks. New Journal of Physics 12 : -. ScholarBank@NUS Repository.
Abstract: Recently, it was shown that generalized synchronization (GS) can generally occur in systems of networked oscillators. In this paper, we further characterize the states of GS by both theoretical analysis and numerical experiments. We show that the entrainment of local dynamics in a network can be characterized by the conditional Lyapunov exponent of the local oscillator. Meanwhile, different types of states of GS can be identified by analyzing the Lyapunov exponent spectra of the coupled system. Most importantly, we further provide direct evidence demonstrating that node dynamics in a network in a chaotic GS state can indeed achieve functional relations, although they may not directly connect to each other in typical complex networks. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
ISSN: 13672630
DOI: 10.1088/1367-2630/12/7/073045
Appears in Collections:Staff Publications

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