于洪洁，董奕煊

上海交通大学 船舶海洋与建筑工程学院， 上海 200240

作者简介:于洪洁（1968-），女，辽宁省大连市人，副教授，研究方向为混沌同步与控制.E-mail:yuhongjie@sjtu.edu.cn.

Synchronization of the Composite Network Constructed by the R?ssler Chaotic System

YU Hongjie,DONG Yixuan

School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

摘要/Abstract

摘要： 将Rossler混沌系统作为神经元，先建立星形子网络，再将子网络的中心神经元按照完全连接形式连接，构建复合型网络. 采用并扩展使2个混沌系统同步的稳定性准则(SC)同步方法，对所构建的复合型网络的同步控制进行理论研究与数值模拟分析.提出了复合型网络的系统耦合方程，以及网络中神经元之间的同步误差发展方程.通过对相关耦合强度因子的控制，将参数对网络同步的形式与过程的影响进行了详细的讨论，得到了复合型网络中可能存在的混沌同步类型与相对应的参数控制范围，并证明了SC同步方法可以有效地解决由星形和完全连接型子网络构成的复合型网络的混沌同步问题.
关键词: Rossler系统, 同步方法, 混沌同步, 非线性耦合函数, 复合神经网络
Abstract: The Rossler chaotic system is considered as neurons,a sub network of star-shaped is firstly established. Then a composite large network is constructed by connecting the center neuron of the sub network with all-to-all-coupling connection. Using and extending the stability criterion (SC)synchronization method of two chaotic systems, theoretical research and numerical simulation are carried out for the constructed network. The system coupled equations of the network and the synchronization error development equations between the neurons in the network are provided. By controlling the dependent coupling intensity factor, the influence of parameters on network synchronization form and process are discussed in detail, and the possible chaos synchronization types and the ranges of the controlled parameter are obtained. Also, it is proved that the SC synchronization method is effectively useful to solve the chaotic synchronization problem of the composite network composed of the star-shaped and all-to-all-coupling.
Key words: Rossler system, synchronization method, chaotic synchronization, non-linear coupled function, composite neural network


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