摘要
本文用数值计算方法,考察了一类参数激励非线性振子在系统混沌参数临界值附近的行为,并着重研究了系统混沌发生的机制,即系统由周期运动向混沌状态过渡的道路问题.发现该系统中并存着倍周期分岔和阵发混沌两条道路,并且随参数的改变,系统的运动出现“跳跃”现象.
A sort of parametrically excited non-linear oscillator is examined by the method of numerical simulations in order to obtain a better understanding of the chaotic behaviours in the neighborhood of chaos threshold. It has been studied emphatically to the mechanism of chaos, i. e. the patterns for transition from periodic state to chaotic one. The simulation results show that there is a duality for both period-doubling bifurcation and intermittent chaos. Meanwhile, with the changing of parameters, the jump phenomena of the motion is also observed.
关键词
参数激励
倍周期分岔
非线性振子
浑沌
Parametrically excited
Period-doubling bifurcation
Intermittent chaos
Jump phenomena
