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math.DS2023
KAM Theorems for Multi-scale Torus
Weichao Qian, Yixian Gao, Yong Li
In present paper, from the viewpoint of physical intuition we introduce a Hamiltonian system with multiscale rotation, which describes many systems, for example, the forced pendulu…
math.DS2022
Global Weinstein Type Theorem on Multiple Rotating Periodic Solutions for Hamiltonian Systems
Jiamin Xing, Xue Yang, Yong Li
This paper concerns the existence of multiple rotating periodic solutions for dimensional convex Hamiltonian systems. For the symplectic orthogonal matrix , the rotating pe…