摘要
讨论一类三维系统在周期扰动下的分支问题.假设此三维系统有一族闭轨,利用Poincar(?)映射及积分流形定理,得到了在周期扰动下由这族闭轨产生次调和解和不变环面的条件,并讨论了次调和解的鞍结点分支.
In this paper, bifurcation of subharmonic solutions and invariant tori of a threedimensional system under periodic perturbation is studied. Assume that the unperturbed three dimensional system has a family of closed orbits, by using Poincare map and integral manifold theory, sufficient conditions for the existence of subharmonic solutions and invariant tori of the perturbed system are obtained. Moreover, saddle-node bifurcation of subharmonic solutions are studied.
出处
《系统科学与数学》
CSCD
北大核心
2009年第8期1034-1043,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10871074)资助项目
关键词
分支
次调和解
不变环面.
Bifurcation, subharmonic solutions, invariant tori
