Van der Pol方程在变换下Hopf分支和周期解的等价性  

The Equivalency of the Periodic Solutions and Hopf Bifurcation to Van der Pol Equation under a Transformation

作　　者：王明芬[1] 

机构地区：[1]吉林工商学院基础部,吉林长春130062

出　　处：《长春师范学院学报（自然科学版）》2008年第4期5-8,共4页Journal of Changchun Teachers College

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.

关 键 词：VAN der POL方程 HOPF分支 周期解 

分 类 号：O175[理学—数学]