摘要
用IHBT法研究了耦合VanderPol振子和Liénard微分方程的参数,取得了很好的结果,包括解图、分叉点、时程曲线及极限环等。
The parametric studies of coupled Van der Pol oscillators and Liénard differential equations are carried out by using IHBT method.The good results are obtained,including solution diagrams,bifurcations,time histories and limit cycles.It can be seen that these studies are important to have an over view of solutions.The values of parameter are related to bifurcation,nonlinearity and number of solutions.Since IHBT method can solve the very strongly nonlinear vibration problems which are difficult for conventional approximate methods,such as coupled Van der Pol oscillators when ε=±10,Van der Pol oscillator when ε=100,and Liénard equations when λ=1.106910 etc.Therefore,parameters can be scanned in a large range by using IHBT method.
出处
《振动工程学报》
EI
CSCD
1997年第3期321-328,共8页
Journal of Vibration Engineering