Partial synchronization on complex networksBin Ao and Zhigang Zheng
Department of Physics and the Beijing-Hong-Kong-Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University Beijing 100875, PRC
received 7 December 2005; accepted in final form 23 February 2006
published online 22 March 2006
Network topology plays an important role in governing the collective dynamics. Partial synchronization (PaS) on regular networks with a few non-local links is found and explored. Different PaS patterns are observed for different ways of non-local couplings. The criterion for the existence and stability of the PaS state is studied. The emergence of PaS is related to the loss of degeneration in Lyapunov exponent spectrum. Theoretical and numerical analysis indicate that non-local coupling may drastically change the dynamical feature of the network, emphasizing the important topological dependence of collective dynamics on networks.
05.45.Xt - Synchronization; coupled oscillators.
87.10.+e - General theory and mathematical aspects.
© EDP Sciences 2006