Resonance effect of direction-phase clusters in a scale-free network

¹  Institute of Theoretical Physics and Department of Physics, East China Normal University Shanghai, 200062, China
²  NTRC, Nanyang Technological University - Singapore, 639798, Singapore
³  Institute for Fusion Theory and Simulation, Zhejiang University - Hangzhou, 310027, China
⁴  Department of Physics, National University of Singapore - Singapore 117542, Singapore

Corresponding author: 52060602006@ecnu.cn

Received: 23 December 2009
Accepted: 26 April 2010

Abstract

It is known that for chaotic flows, a weak coupling does not always make the coupled systems approach synchronization but sometimes makes them become more complicated (Phys. Rev. E, 67 (2003) 045203(R)). We here report that a similar situation also occurs in the coupled chaotic maps, where a weak coupling will make the number of direction-phase clusters N_c increase. We find a double-resonance effect on the coupling strength ε, where the first resonance comes from the coupling-induced periodic behaviors and the second one is due to the disappearance of the disorder phase. The mechanism of the second resonance is revealed through the out-of-phase links. Moreover, we show that the critical coupling ε_c of the maximum N_c will increase rapidly with the bifurcation parameter μ but slowly with the range of the distribution of non-identical oscillators.