Resonant Homoclinic Bifurcations with Orbit Flips and Inclination Flips

• 作者: Tiansi Zhang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: ORBIT FLIP INCLINATION FLIP RESONANCE
• 年，卷（期）: 2013,（2）
• 页码范围: 279-284
• 页数: 6页
• 分类号: O1

摘要

Homoclinic bifurcation with one orbit flip, two inclination flips and resonance in the tangent directions of homoclinic orbit is considered. By studying the associated successor functions constructed from a local active coordinate system, we prove the existence of double 1-periodic orbit, 1-homoclinic orbit, and also some coexistence conditions of 1-periodic orbit and 1-homoclinic orbit.