摘要
本文研究了一类非线性扰动方程,确定自治扰动方程双曲不动点的稳定和不稳定流形的相对位置,给出了存在唯一极限环的参数范围,并应用于电机工程和力学中一类非线性系统。
A series of nonlinear perturbed equations are studied in this paper. The relative position of stable and unstable manifold of autonomous perturbed equation is set, and the parametric range of limit cycle is given. The result is applied to a series of nonlinear systems of electric machine project and mechanics.
出处
《应用数学》
CSCD
北大核心
1995年第2期182-186,共5页
Mathematica Applicata
关键词
分界线环
极限环
扰动方程
非线性
Nonlinear system
Demarcation line cycle
limit cycle