摘要
通过对一个三维不稳定线性系统添加非连续状态反馈控制项,即一个分段线性控制开关,从而构造出一种新的几何对象,实现了三线性系统耦合混沌控制.对一类三维耦合混沌系统的动力学性质进行了理论分析,给出了与此类系统动力学性质相关的三个定理.数值模拟及计算全部Lyapunov指数验证了该三维耦合系统确实存在混沌.
A kind of 3-dimensional three-linear hybrid chaotic system was achieved by adding feedback control item under discontinuous state, which is a switching type of piecewise-linear controller to a 3-dimensional unstable linear system. Systemic dynamic analysis was accomplished for a kind of three - linear hybrid chaotic system, and three theorems were given. Numeric simulation and calculating all Lyapunov exponents verify their chaos.
出处
《北京科技大学学报》
EI
CAS
CSCD
北大核心
2007年第6期636-640,共5页
Journal of University of Science and Technology Beijing
基金
国家自然科学基金资助项目(No70271068)
