Chaotic Dynamics of Monotone Twist Maps

• 作者: Guo Wei YU
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（1）
• 页码范围: 179-204
• 页数: 26页
• 语种: 英文

摘要

For a monotone twist map,under certain non-degenerate condition,we showed the exis-tence of infinitely many homoclinic and heteroclinic orbits between two periodic neighboring minimal orbits with the same rotation number,which indicates chaotic dynamics.Our results also apply to geodesics of smooth Riemannian metrics on the two-dimension torus.