以相交平面为分界面构造多涡卷分段线性混沌系统  

Construct Multi-scroll piecewise linear chaotic system selecting cross-plane as interface

作　　者：刘玉民[1] 张雨虹[1,2] 张小松[1,2] 

机构地区：[1]唐山学院信息工程系,河北唐山063000 [2]北京科技大学信息工程学院,北京100083

出　　处：《电路与系统学报》2010年第1期28-31,共4页Journal of Circuits and Systems

基　　金：唐山市科学技术研究与发展计划项目(07160203B-3)

摘　　要：本文提出一种以相交平面为分界面构造多涡卷分段线性混沌系统的新方法。首先选取满足Shilnikov不等式的不稳定线性系统,然后对该系统进行平移变换,并以相交平面为分界面对相平面进行划分,最后得到所需的多涡卷分段线性混沌系统。根据该方法可以构造任意个涡卷的新型混沌系统。数值仿真及实验结果验证了该方法的有效性。A method for selecting cross-plane as interface to construct multi-scroll piecewise linear chaotic system is presented. Firstly a proper unstable linear system satisfied shilnikoc inequation is selected. Then shift transformations of the linear system are implemented and the phase space is divided into several parts by a series of cross-plane. Finally the needed multi-scroll piecewise linear chaotic system is constructed. According to this method, new chaotic system can have arbitrary number scrolls. Numerical simulation and experiment result verify effectivity of the proposed method.

关 键 词：混沌系统 Shilnikov定理 相交平面 多涡卷 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置] O415.5[自动化与计算机技术—控制科学与工程]