Bifurcation Analysis of Homoclinic Flips at Principal Eigenvalues Resonance

• 作者: Deming Zhu Tiansi Zhang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: ORBIT FLIP INCLINATION Flips HOMOCLINIC ORBIT RESONANCE
• 年，卷（期）: 2013,（2）
• 页码范围: 271-278
• 页数: 8页
• 分类号: O1

摘要

One orbit flip and two inclination flips bifurcation is considered with resonant principal eigenvalues. We introduce a local active coordinate system to establish bifurcation equation and obtain the conditions when the original homoclinic orbit is kept or broken. We also prove the existence and the existence regions of double 1-periodic orbit bifurcation. Moreover, the complicated homoclinic-doubling bifurcations are found and expressed approximately, and are well located.