时滞Van der Pol方程周期解和Hopf分支的等价性  

The Equivalency of the Periodic Solutions and Hopf Bifurcation to Van der Pol Equation with Delay

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6期7-11,共5页Journal of Changchun Teachers College

摘　　要：本文对非线性项为两种形式的时滞Van der Pol方程分别加以比较,利用Hopf分支理论和锥不动点定理,得到相应方程在周期解和Hopf分支方面上的差异.The functional differential Van del Pol equation with delays whose nonlinear terms are in two different forms are compared accordingly in this paper. Mainly by means of the Hopf bifurcation theorem and the cone fixed point theorem in the functional differential equations. Their differences in the periodic solutions and hopf bifurcations are gained.

关 键 词：Van der POL方程 周期解 HOPF分支 锥不动点 

分 类 号：O175.08[理学—数学]