复杂网络连接的Chen系统的同步化

胡爱花;徐振源;李芳

系统科学与数学 ›› 2007, Vol. 27 ›› Issue (2) : 302-313.

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系统科学与数学 ›› 2007, Vol. 27 ›› Issue (2) : 302-313. DOI: 10.12341/jssms09513
论文

复杂网络连接的Chen系统的同步化

    胡爱花(1),徐振源(1),李芳(2)
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Synchronization of Chen Systems in Complex Networks

    Hu Aihua(1),Xu Zhenyuan(1),Li Fang(2)
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摘要

利用Chen系统的有界性和挤压性质,提出了一种新的研究网络同步化的方法.选取以N个Chen系统作为结点的4种复杂网络(环形网络、星形双向耦合网络、小世界网络、全局耦合网络)作为研究对象,理论推导得出网络中Chen系统同步需满足的参数条件.通过比较证明了小世界网络具有易于同步和结构简单的优点,数值仿真结果与理论分析相一致.

Abstract

In this paper, we present a new way for researching the monotonous synchronization of chaotic systems in the complex networks. The method proposed here is based on the boundary and squeezing properties about Chen system. We study four complex networks, including ring network, star network, small-world network and globally coupled network, which all have N Chen systems. By theoretic inducing, we derive the sufficient conditions for synchronization, and prove that the small-world network is better than others by comparison. The result of numerical simulations is consistent with the theory.

关键词

同步 / Chen系统 / 挤压性质 / 复杂网络

Key words

Synchronization / Chen system / squeezing properties / complex network

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胡爱花 , 徐振源 , 李芳. 复杂网络连接的Chen系统的同步化. 系统科学与数学, 2007, 27(2): 302-313. https://doi.org/10.12341/jssms09513
Hu Aihua , Xu Zhenyuan , Li Fang. Synchronization of Chen Systems in Complex Networks. Journal of Systems Science and Mathematical Sciences, 2007, 27(2): 302-313 https://doi.org/10.12341/jssms09513
中图分类号: 34C28    90B10   
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