| 混沌网络的聚类同步方法 |
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| 引用本文： | 马忠军,刘曾荣,张刚. 混沌网络的聚类同步方法[J]. 力学学报, 2006, 38(3): 385-391. DOI: 10.6052/0459-1879-2006-3-2005-312 |
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| 作者姓名： | 马忠军 刘曾荣 张刚 |
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| 作者单位： | 上海大学非线性科学研究中心,上海大学理学院,上海,200444;石家庄学院数学系,石家庄,050035 |
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| 基金项目： | 国家自然科学基金资助项目（10372054,70431002） |
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| 摘 要： | 由于通讯技术和生物工程等科学的发展，许多的聚类同步现象陆续被发现和研究. 然而，由于网络的复杂性，有关聚类同步的理论结果极少见报道.从上述问题出发，对于大小为N=mn的网络, 通过构造带权重的相互作用，得到了n个聚类的聚类同步，其中每个聚类的振子数目都等于m. 最后，以耦合Lorenz系统为例，验证了以上结果的正确性.
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| 关 键 词： | 聚类同步 耦合方案 扩散耦合 混沌网络 稳定性 |
| 文章编号： | 0459-1879（2006）03-0385-07 |
| 收稿时间： | 2005-06-24 |
| 修稿时间： | 2005-10-25 |
The methods of cluster synchronization in chaotic networks |
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| Ma Zhongjun,Liu Zengrong,Zhang Gang. The methods of cluster synchronization in chaotic networks[J]. chinese journal of theoretical and applied mechanics, 2006, 38(3): 385-391. DOI: 10.6052/0459-1879-2006-3-2005-312 |
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| Authors: | Ma Zhongjun Liu Zengrong Zhang Gang |
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| Affiliation: | 1The Shanghai University Center for Nonlinear Sciences, Shanghai University, Shanghai 200444, China;2 Department of Mathematics, Shijiazhuang College, Shijiazhuang 050035, China |
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| Abstract: | With the development of biological sciences and communication engineering, a lot of phenomena about cluster synchronization axe discovered and investigated. However, because of the complexity of network, the theoretical results about cluster synchronization are very limited. In this paper, for the case that the number of every cluster is equal to m, a coupled weight network is constructed, and a sufficient condition about the synchronization with n clusters is obtained. The effectiveness of the methods is illustrated by an example. |
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| Keywords: | cluster synchronization coupling schemes diffusively coupling chaotic networks stability |
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