Volume 90, Number 3, May 2010
|Number of page(s)||6|
|Published online||28 May 2010|
Resonance effect of direction-phase clusters in a scale-free network
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: firstname.lastname@example.org
Accepted: 26 April 2010
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 Nc 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 εc of the maximum Nc will increase rapidly with the bifurcation parameter μ but slowly with the range of the distribution of non-identical oscillators.
PACS: 05.45.Ra – Coupled map lattices / 05.45.Xt – Synchronization; coupled oscillators / 89.75.Hc – Networks and genealogical trees
© EPLA, 2010
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