参数不确定的异时滞混沌系统的延时同步控制

构建一个新三维混沌系统,通过对系统非线性动力学特性进行分析,证实了系统的混沌特性并确定其混沌吸引子的存在,电路仿真说明了该混沌系统的物理可实现性。设计了该混沌系统的异时滞混沌系统,数值分析和电路仿真表明了异时滞混沌系统的物理可实现性。对一类参数不确定的时滞混沌系统的自适应延时同步进行讨论,以Lyapunov-Krasovskii泛函为理论基础,设计了时滞延时同步控制器,从理论上证明了当控制参数矩阵K满足K-n E为正定矩阵时,驱动系统与响应系统趋于同步,数值仿真表明了异时滞延时同步方法设计的普适性和有效性。

Heteroclinic Orbit Existence on a Type of Chaotic System with Delays

In this paper, we discuss a type of chaotic system with delays. We study the equilibrium points and the existence of heteroclinic orbit of the system. Heteroclinic orbit existence theorem is proposed and proved by applying the undetermined coefficient method, which shows the complex dynamical properties of this system.