Using an adaptive scheme to reduce the coupling cost in chaotic phase synchronization of complex networksQuansheng Ren, Xiaoqian Yu, Tingting Li and Jianye Zhao
Department of Electronics, Peking University - Beijing 100871, China
received 26 January 2008; accepted in final form 4 June 2008; published July 2008
published online 8 July 2008
A new adaptive coupling scheme is introduced into chaotic phase synchronization in complex networks. The coupling could adjust adaptively according to the energy difference between two chaotic oscillators. Thus it needs less total and net energy to compensate the energy exchange of chaotic systems with its environment in synchronization. In complex networks, the adaptive coupling could suppress the negative influence of the heterogeneities in parameter and degree distributions. We investigate the scheme in three kinds of network topologies, i.e. coupled two oscillators, global coupled lattice, and scale-free complex network. The adaptive coupling scheme has better performance in synchronization ability compared with four other schemes.
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.
89.75.Fb - Structures and organization in complex systems.
© EPLA 2008