Characterizing generalized synchronization in complex networks

Details Characterizing generalized synchronization in complex networks Characterizing generalized synchronization in complex networks

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12g3045g&link_type=abstract

New Journal of Physics, Volume 12, Issue 7, pp. 073045 (2010).

Physics

1

Scientific paper

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.

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