Using an adaptive scheme to reduce the coupling cost in chaotic phase synchronization of complex networks

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