3 papers
math.DS2025
Averaging method for quasi-periodic response solutions
Jiamin Xing, Yong Li, Shuguan Ji
In this paper, we present an averaging method for obtaining quasi-periodic response solutions in perturbed, real analytic, quasi-periodic systems with Diophantine frequency vectors…
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…
math.DS2018
Rotating Quasi-periodic Solutions of Second Order Hamiltonian Systems with Sub-quadratic Potential
Jiamin Xing, Xue Yang, Yong Li
This paper concerns the existence of multiple rotating quasi-periodic solutions for second order Hamiltonian systems with sub-quadratic potential. Such solutions have the form $x(t…