摘要
最近,Qi等人给出了一种四维动力系统,该系统的每一个方程都含有因变量交叉乘积而引起的非线性项.在系统的诸多参数区域内,Qi四维系统可出现复杂的分岔路径在某些参数范围内,该系统还会出现混沌现象.本文进一步考查了Qi四维系统,借助于相图和时间历程曲线图等手段,发现该系统还可能发生暂态混沌现象,初始条件的微小改变可使系统的最终稳态由一种改变为另一种.
Recently, Qi et al. have developed a 4D dynamical system, in which each equation contains a 3 - term cross product. And it has been shown that complex bifurcations can occur and chaos may be examined in several parameter regions of this system. This paper further investigated Qi＇ s 4D system. By use of phase portraits and time response curves, the dynamical behaviors were identified based on numerical solutions of the equations for the system. It was shown that chaotic transients occurred in the system with two sets of parameter values, and small changes of initial values may lead the system to different final steady states.
出处
《动力学与控制学报》
2007年第1期18-22,共5页
Journal of Dynamics and Control
关键词
Qi四维系统
暂态混沌
初始条件
Qi＇s four- dimensional dynamical system, chaotic transient, initial value
