RESONANT BIFURCATIONS OF THE HOMOCLINIC MANIFOLD FOR FOURTH-DIMENSIONAL SYSTEM

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2008,（1）
• 页码范围: 52-64
• 页数: 13页
• 分类号: O17

摘要

The homoclinic bifurcations under resonant conditions are considered in the ho- moclinic manifold consisting of a series of homoclinic orbits for the fourth-dimensional system.The existence,coexistence and uniqueness of 1-homoclinic orbit,1-periodic orbit and 2-fold 1-periodic orbit are obtained under resonant condition,the correspon- ding bifurcation surfaces and existing regions are also given.