Synchronization of coupled logistic maps on random community networks |
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Authors: | Feng Cun-Fang Xu Xin-Jian Wu Zhi-Xi and Wang Ying-Hai |
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Institution: | Departamento de F'isica da Universidade de Aveiro,
3810-193 Aveiro, Portugal; Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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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. |
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Keywords: | complex networks synchronization random community networks |
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