Synchronization of coupled logistic maps on random community networks
Feng Cun-Fang(冯存芳)a), Xu Xin-Jian(许新建)b), Wu Zhi-Xi(吴枝喜)a), and Wang Ying-Hai(汪映海)a)†
aInstitute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; bDepartamento de F'isica da Universidade de Aveiro, 3810-193 Aveiro, Portugal
Abstract The collective synchronization of a system of coupled logistic maps on random community networks is investigated. It is found that the synchronizability of the community network is affected by two factors when the size of the network and the number of connections are fixed. One is the number of communities denoted by the parameter $m$, and the other is the ratio $\sigma$ of the connection probability $p$ of each pair of nodes within each community to the connection probability $q$ of each pair of nodes among different communities. Theoretical analysis and numerical results indicate that larger $m$ and smaller $\sigma$ are the key to the enhancement of network synchronizability. We also testify synchronous properties of the system by analysing the largest Lyapunov exponents of the system.
Received: 30 August 2007
Revised: 30 October 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of
China (Grant No 10775060).
Cite this article:
Feng Cun-Fang(冯存芳), Xu Xin-Jian(许新建), Wu Zhi-Xi(吴枝喜), and Wang Ying-Hai(汪映海) Synchronization of coupled logistic maps on random community networks 2008 Chin. Phys. B 17 1951
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