异构细胞神经网络与超混沌系统的同步研究

摘要

为了进一步研究不同结构超混沌系统的同步,提出了细胞神经网络与Rossler超混沌系统之间的异维异构同步控制方法.该方法主要是基于Lyapunov稳定性原理,通过分步构造Lyapunov函数,重构驱动系统和响应系统的状态观测变量,并分析其误差系统的稳定性,最终实现了仅控制一个控制器就可达成五维细胞神经网络(CNN)和四维Rossler系统的完全同步.通过选取适当的参数,并使用Matlab仿真验证了五维细胞神经网络(CNN)超混沌系统和四维Rossler超混沌系统的同步,实验结果验证了该同步方法的快速及有效性.%This paper puts forward on the problem of synchronization control for different orders and structures between cellular network and Rossler, in order to further study the synchronization for the hyperchaotic systems of different structure. For realization of synchronous for the five-order cellular neural networks and four-order Rossler system by using only one controller, based on the stability theory of Lya-punov and the method of construction Lyapunov function by step-by-step, the state observer variables of dive and response systems are reconstructed, and then to analyze the stability of the error system. Furthermore, via choosing appropriate parameters, numerical simulations are presented to verify the synchronization of chaotic system of the five-order cellular neural networks and four-order Rossler hyper-chaotic system. And the simulations show the effectiveness and feasibility of the synchronization method.