摘要
本文利用poincare关于周期解存在性的判据,边值问题的可解性条件及摄动理论中的伸缩参数法,讨论在强迫力作用下的Vanderpol方程,给出两种寻求周期解的迭代程序。一种适用于“硬”激励,另一种适用于“软”激励。
In this paper,using poincare’s criterion on the existence of periodic solution,thesolvable conditions of boundary value problems and the stretched parameter method in the pertur-bation techniques,we discuss a class of forced van der po1’s equation and present two kinds of thecomputer program which can be applied obtain periodic solution.One suitable for“ hard”excitement,oher for“soft”excitement.
出处
《内蒙古民族大学学报(自然科学版)》
1995年第2期144-150,共7页
Journal of Inner Mongolia Minzu University:Natural Sciences
关键词
周期解
硬激励
软激励
periodic solution
“hard”excitement
“soft”excitement