| 具有无标度拓扑结构的耦合映象格子的同步与控制 |
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| 引用本文： | 陈伟,方锦清,康戈文.具有无标度拓扑结构的耦合映象格子的同步与控制[J].复杂系统与复杂性科学,2006,3(1):44-50. |
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| 作者姓名： | 陈伟 方锦清 康戈文 |
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| 作者单位： | 1. 电子科技大学自动化工程学院,成都,610054
2. 中国原子能科学研究院,北京,102413 |
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| 摘 要： | 研究了具有无标度拓扑结构的耦合映象格子的同步和控制，为此，采用3种反馈方法（常数反馈和两种时延反馈）对系统的部分节点进行控制以达到所期望的状态。分别计算和分析了控制后产生的新分岔图。同时发现：对于第一种时延反馈控制，临界反馈控制值线性地随着耦合映象格子的耦合强度的线性增长而增大；当控制强度大于临界反馈控制值时，具有无标度拓扑结构的耦合映象格子系统会失去同步状态进而出现间歇振荡现象。
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| 关 键 词： | 复杂网络 无标度网络 耦合映射格子 反馈控制 同步 |
| 文章编号： | 1672-3813（2006）01-0044-07 |
| 收稿时间： | 2006-02-09 |
| 修稿时间： | 2006年2月9日 |
Synchronization and Control in Coupled Map Lattices with Scale-Free Topology |
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| Authors: | CHEN Wei FANG Jin-qing KANG Ge-wen |
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| Institution: | 1. School of Automation, University of Electronic Science and Technology of China, Chengdu 610054, China; 2. China Institute of Atomic Energy, Beijing 102413, China |
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| Abstract: | We study dynamical synchronization and control in coupled map lattices(CML) with scale-free(SF) topology.Our strategy is to apply three feedback control methods,including constant feedback and two types of time-delayed feedback,to a small fraction of network nodes to reach desired synchronous state.Two controlled bifurcation diagrams verses feedback strength are obtained respectively.It is found that the value of critical feedback strength for the first time-delayed feedback control is increased linearly as the coupled strength is increased linearly.The CML with SF loses synchronization and intermittency occurs if control strength is greater than the critical feedback strength. |
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| Keywords: | complex network scale-free network coupled map lattices feedback control synchronization |
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