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  • 李琢,陈光旨,薛郁,覃团发.二三个节点的耦合混沌系统的同步分析[J].广西科学,2004,11(3):191-194.    [点击复制]
  • Li Zhuo,Chen Guangzhi,Xue Yu,Qin Tuanfa.Synchronization Analysis of Coupled Chaotic Systems of Two and Three Nodes[J].Guangxi Sciences,2004,11(3):191-194.   [点击复制]
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二三个节点的耦合混沌系统的同步分析
李琢1, 陈光旨1, 薛郁1, 覃团发2
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(1.广西大学物理科学与工程技术学院, 南宁市大学路100号 530004;2.广西大学计算机与电子信息学院, 南宁市大学路100号 530004)
摘要:
以洛仑兹系统为对象,将其混沌吸引子视为网络节点,对具有二三个节点的单变量耦合网络与多变量耦合网络的同步进行研究,并计算它们的李雅谱诺夫指数谱,进而将分析的结论推广到多个节点相互耦合的复杂网络中。结果表明,通过多变量耦合的网络比单变量耦合的网络更容易达到同步.
关键词:  混沌系统  同步  洛仑兹吸引子  李雅谱诺夫指数谱
DOI:
投稿时间:2003-11-17修订日期:2004-05-25
基金项目:国家自然科学基金(10147201)资助项目。
Synchronization Analysis of Coupled Chaotic Systems of Two and Three Nodes
Li Zhuo1, Chen Guangzhi1, Xue Yu1, Qin Tuanfa2
(1.Coll. of Phy. Sci. & Engi. Tech., Guangxi Univ., 100 Daxuelu, Nanning, Guangxi, 530004, China;2.Coll. of Comp. & Elec. Info., Guangxi Univ., 100 Daxuelu, Nanning, Guangxi, 530004, China)
Abstract:
This article studies the synchronization of coupled networks,taking the Lorentz system as an example and regarding its chaotic attractor as networks nodes.Through the studies of coupled networks synchronization by linking single and multiple variables with two and three nodes,as well as the calculation of their Lyapunov spectrum,we found that multi-variable coupled networks is easy to synchronize than single-variable coupled networks.
Key words:  chaotic system  synchronization  Lorentz attractor  Lyapunov spectrum

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