节点结构互异的复杂网络的时空混沌反同步

摘要

研究了节点结构互异的离散型时空混沌系统构成复杂网络的反同步问题.通过构造合适的Lyapunov函数,确定了复杂网络中连接节点之间的耦合函数的结构以及控制增益的取值范围.以物理中具有时空混沌行为的激光相位共轭波空间扩展系统、Gibbs电光时空混沌模型、Bragg声光时空混沌模型以及一维对流方程的离散形式作为网络节点构成的复杂网络为例进行了仿真模拟,发现整个网络存在稳定的混沌反同步现象.%Anti-synchronization of complex network is investigated in which nodes are discrete spatiotemporal chaos systems with diverse structures.The form of the coupling functions connecting nodes in the complex network and the control gain are obtained through constructing an appropriate Lyapunov function.The spatially extended system of laser phase conjugate wave having spatiotemporal chaos behavior in physics,Gibbs electrical-optical spatiotemporal chaos model,Bragg acousto-optical spatiotemporal chaos model and the one-dimensional discrete convective equation are all taken as nodes of the complex network.Artificial results show that a stable anti-synchronization is obtained in the whole network.