多涡卷混沌吸引子个数连续变化的同步方法

A Synchronous Method of Multi-scroll Chaotic System with Continuously Changing the Quantity of Attractors

提出了一种多涡卷混沌吸引子个数连续变化的同步方法;基于Lyapunov稳定性原理,设计了一个同步控制器;同步控制器能在保持不变的情况下,使吸引子个数连续变化的多涡卷混沌系统保持同步;以Colpitts网格多涡卷超混沌系统和超混沌Lorenz系统的同步为例,进行了数值仿真研究,仿真结果表明所设计的同步控制器的有效性。

In this paper,a synchronous method of multi-scroll chaotic system with continuously changing the quantity of attractors is proposed. Based on Lyapunov stability theory,a synchronous controller is designed. The controller makes the multi- scroll chaotic system with continuously changing the quantity of attractors remain synchronization at all time,while the controller is invariable. Finally,taking synchronization between grid multiscroll Colpitts hyper-chaotic system and hyper-chaotic Lorenz system as an example,a numerical simulation study is carried out. The simulation results show the effectiveness of the controller.