摘要
本文对非线性项为两种形式的Van der Pol微分方程在变换下的Hopf分支和周期解进行比较,利用平面定性理论和Hopf分支理论,得到相应方程在Hopf分支和周期解方面上的差异.
The periodic solutions and Hopf Bifurcation to the Van der Pol equation whose nonlinear terms are in two different forms are compared accordingly in this paper, mainly by means of the planar qualitative theory and the Hopf bifurcation theorem. Their differences in the periodic solutions and Hopf bifurcations which embody the differences of the Van der Pol equations under a transformation are gained.
