摘要
本文描述了一种新的、不依赖于小参数的非线性分析方法,并分析、比较了该方法与摄动展开方法的优缺点。本文所述方法建立在拓扑的同伦理论之上,彻底抛弃了摄动方法的小参数假设,从而可以求解更强的非线性问题,特别是那些不含小参数的非线性问题。
In this paper, a new kind of nonlinear analytical method which does not depend on small parameters is described and is compared with the perturbation techniques. Based on the homotopy of topology, this method discards completely the small-parameter-supposition in perturbation techniques so that it may be applied to solve much more strongly nonlinear problems, especially those without small parameters.
出处
《上海力学》
CSCD
1994年第2期28-33,共6页
Chinese Quarterly Mechanics
关键词
非线性分析
同伦
摄动法
振动理论
Nonlinear analysis, Homotopy, Smooth mapping, Uniform validity.
