摘要
本文对于已有的运动方程的Lyapunov特性指数谱计算公式 ,从易于数值实现的角度作了简化 ,并通过Henon映射和Lorena方程对Lyapunov特性指数与倍周期分岔的关系作了分析和比较 ,最后通过对受特定参数下系统周期轨道控制时的混沌Lorenz系统的Lyapunov特性指数谱的计算和分析 ,进一步验证了Lyapunov特性指数与倍周期分岔的内在关系。
The present paper reformulates certain existing discrete calculation method of Lyapunov Characteristic Exponents (LCE) spectrum from the view of easily realizing numerical computation, and describes the relation between LCE spectrum and double-period bifurcation of Henon map and Lorenz equation. With LCE analysis of Lorenz chaos system under the control of Lorenz periodic orbits with certain system parameters, the relation is exemplified again.
出处
《浙江交通职业技术学院学报》
CAS
2002年第2期12-15,5,共5页
Journal of Zhejiang Institute of Communications
