A KAM Theorem for a Class of Nearly Integrable Symplectic Mappings

作者：Lu, Xuezhu; Li, Jia; Xu, Junxiang^*

来源：Journal of Dynamics and Differential Equations, 2017, 29(1): 131-154.

DOI：10.1007/s10884-015-9427-0

• Symplectic mappings
• KAM iteration
• Invariant tori
• Non-degeneracy conditions

This paper considers a class of nearly integrable twist symplectic mappings with generating functions and proves the persistence of lower dimensional elliptic invariant tori under Russmann's non-degeneracy conditions.

• 出版日期2017-3
• 单位东南大学