| 大规模富社团网络的时空混沌同步 |
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| 引用本文： | 吕翎,邹家蕊,杨明,孟乐,郭丽,柴元.大规模富社团网络的时空混沌同步[J].海洋学报,2010,32(10):6864-6870. |
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| 作者姓名： | 吕翎 邹家蕊 杨明 孟乐 郭丽 柴元 |
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| 作者单位： | 辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029;辽宁师范大学物理与电子技术学院, 大连 116029 |
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| 基金项目： | 辽宁省自然科学基金(批准号:20082147)和辽宁省教育厅创新团队计划(批准号:2008T108)资助的课题. |
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| 摘 要： | 以Plankton时空混沌系统作为网络节点,通过非线性耦合构成富社团(rich-club,RC)网络,研究其时空混沌同步规律.首先给出了RC网络中连接节点之间的非线性耦合函数的一般性选取原则.进而基于Lyapunov稳定性定理,理论分析了实现网络同步的条件.最后,通过仿真模拟检验了网络的时空混沌同步效果.仿真研究表明,RC网络中各富节点之间以及这些富节点各自星形连接的子网络中的所有节点均实现了完全同步.
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| 关 键 词： | 同步 时空混沌 富社团网络 Lyapunov稳定性定理 |
| 修稿时间： | 2/1/2010 12:00:00 AM |
Synchronization of spatiotemporal chaos in large scale rich-club network |
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| Institution: | College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China |
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| Abstract: | The Plankton spatiotemporal chaos system is taken as network node and constructed as a rich-club network through nonlinear coupling. The synchronization of spatiotemporal chaos for the above network is investigated. The general selection rule of nonlinear coupling function connecting nodes in the rich-club network is presented. Furthermore, the condition to realize the network synchronization is analyzed theoretically based on Lyapunov stability theory. Finally, the synchronization effect of spatiotemporal chaos for the rich-club network is checked through artificial simulation. The results show that complete synchronization can be realized for all rich nodes in the rich-club network and all nodes in every subnetwork constructed in star-shape. |
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| Keywords: | synchronization spatiotemporal chaos rich-club network Lyapunov stability theory |
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