强共振情况下不变环面的分支

韩茂安;朱德明

数学学报 ›› 1996, Vol. 39 ›› Issue (1) : 96-101.

PDF(378 KB)
PDF(378 KB)
数学学报 ›› 1996, Vol. 39 ›› Issue (1) : 96-101. DOI: 10.12386/A1996sxxb0014
论文

强共振情况下不变环面的分支

    韩茂安;朱德明
作者信息 +

Bifurcation of an Invariant Torus with Strong Resonance

Author information +
文章历史 +

摘要

本文利用周期变换和积分流形理论研究平面周期扰动系统,在强共振情况下获得了从一阶细焦点分支出不变环面的简洁条件,本文中的非共振条件不同于[5]中所给出的非共振条件.

Abstract

By means of periodic transformations and integral manifold theory, we investigate planar periodic perturbed systems, and obtain for the strong resonant case , a condition under which an invariant torus is bifurcated from a weak focus of order one.

关键词

不变闭曲线 / Poincarè映射 / 不变环面

引用本文

导出引用
韩茂安;朱德明. 强共振情况下不变环面的分支. 数学学报, 1996, 39(1): 96-101 https://doi.org/10.12386/A1996sxxb0014
Bifurcation of an Invariant Torus with Strong Resonance. Acta Mathematica Sinica, Chinese Series, 1996, 39(1): 96-101 https://doi.org/10.12386/A1996sxxb0014
PDF(378 KB)

396

Accesses

0

Citation

Detail

段落导航
相关文章

/