摘要
利用霍夫分岔理论分析范德玻耳方程所描述的振荡系统的自激振荡过程。结果显示 ,在控制参数ε>0时 ,自激振荡会趋向一个稳定振幅的等幅振荡 ,而当控制参数ε<0时 ,振荡过程得到不稳定振幅 。
Hopf's theory of divider is applied to analyse the self-oscillation course of the oscillation system that is described with Van der pohr's equation. It is shown that the self-oscillation tends to the equivalent amplitude oscillation when the control parameter 'ε' is positive, but when the control parameter'ε' is negative, the amplitude is not equivalent, the oscillation tends to chaos.
出处
《安徽水利水电职业技术学院学报》
2002年第1期45-48,共4页
Journal of Anhui Technical College of Water Resources and Hydroelectric Power
关键词
范德玻耳方程
霍夫分岔
极限环
混沌
Van der pohr's equation
Hopf divider
limit loop
chaos
