A new method to realize cluster synchronization in connected chaotic networks

A new method to realize cluster synchronization in connected chaotic networks
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DOI:
10.1063/1.2184948
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发表时间:
2006-06-01
期刊:
影响因子:
2.9
通讯作者:
Zhang, Gang
Zhang, Gang
中科院分区:
数学2区
文献类型:
--
作者:
Ma, Zhongjun;Liu, Zengrong;Zhang, Gang

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In this article, a new method, which constructs a coupling scheme with cooperative and competitive weight-couplings, is used to stabilize arbitrarily selected cluster synchronization patterns with several clusters for connected chaotic networks. By the coupling scheme, a sufficient condition about the global stability of the selected cluster synchronization patterns is derived. That is to say, when the sufficient condition is satisfied, arbitrarily selected cluster synchronization patterns in connected chaotic networks can be achieved via an appropriate coupled scheme. The effectiveness of the method is illustrated by an example.