摘要
本文讨论空间微分方程组周期解的存在性问题,推广了平面系统从闭轨族产生周期解的 Poincaré方法。对一类空间微分方程组,给出了孤立周期解存在的判定准则.
This paper discusses the existcnce of pcriodic solutions for a class of three dimensional
differential cquations.Poincaré bifurcation,a technique generating largc periodic solutions
from a family of closed orbits,is generalized to three dimensional differential systems.Cri-
terion functions are given to generate periodic solutions under small perturbations.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
1990年第1期61-64,共4页
Journal of Xi'an Jiaotong University
关键词
微分方程组
周期解
分歧
判别函数
bifurcation theory
periodic solutions
discriminant function
