SYNCHRONIZATION BEHAVIOR IN DISCRETE SYSTEMS

Jian-Feng Zheng (), Zi-You Gao, Ling-Xiao Yang and Bai-Bai Fu
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Jian-Feng Zheng: Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Zi-You Gao: Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Ling-Xiao Yang: Institute of System Science, School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China
Bai-Bai Fu: School of Urban Planning and Architecture, Shandong Jianzhu University, Jinan 250101, P. R. China

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 05, 441-448

Abstract: This work explores the synchronization behavior in discrete systems with both discrete time and discrete state. In order to describe the self-driven function of the node’s state, a state transfer matrix is introduced. Three typical network structures (random network, small-world network and scale-free network) are numerically studied in order to investigate the impact of network structure. Simulation results show that, according to the phase synchronization index, the coupling strength is divided into four regions: the increasing region, the maximum region, the decreasing region and the oscillation region. Moreover, the size of the oscillation region seems to be changeless, independent of the network structure and a parameter describing the number of total node’s states.

Keywords: Synchronization; complex networks; discrete systems; 89.75.-k (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1142/S012918311101635X

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