5 papers
Effective stability for Hamiltonian PDEs vanishing spectral gaps
Bingqi Yu, Yong Li
This paper studies the effective stability of nearly integrable Hamiltonian PDEs with asymptotically vanishing spectral gaps (). Under a unified high-low frequency decomp…
Almost global existence for Ultra-differential Hamiltonian in space
Bingqi Yu, Li Yong
This paper combines the decay of high modes with the smallness introduced by high orders, leading to a normal form lemma for infinite-dimensional Hamiltonian systems under ultra-di…
Nekhoroshev type stability for non-local semilinear Schrödinger equations
Bingqi Yu, Li Yong
This paper investigates Nekhoroshev-type stability for solutions of ultra-differentiable regularity in Schrödinger equations with non-local nonlinear terms, employing the method of…
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…
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…