Van der Pol方程周期解的分解算法  

DECOMPOSITION METHOD FOR FINDING THE PERIODIC SOLUTION OF VAN DER POL EQUATION

作　　者：李华[1] 徐国华[1] 

机构地区：[1]西安电子科技大学,西安710071

出　　处：《高等学校计算数学学报》1997年第2期156-162,共7页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 引言 动力系统周期解方程的研究是一个重要而有兴趣的问题,当系统周期解的方程能够写出来时,不但可以确定它的准确或近似位置,而且还可以研究当周期解因微分方程中的参数变动而消失时,它是否跑到二维复空间中去,对于人所熟知的van derThe decomposition method is introduced to solve the pseudolinear PDE satisfied by the closed orbits of the van der Pol equation, and the periodic solution is then obtained. The results demonstrate that the new method does work. This method provides an efficient computational procedure for solving large classes of nonlinear equations, and it is more general than the method presented in paper [2].

关 键 词：范德波尔方程 周期解 分解算法 

分 类 号：O241.81[理学—计算数学]