KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity

2018/08/16 by Xindong Xu, Xu, Xindong
Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Laser-Matter Interactions and Applications #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1808.05358

openalex publication_date 2018/08/16 · openalex created_date 2018/08/22 · openalex updated_date 2026/07/28

Abstract

We prove an infinite-dimensional KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. As an application, we prove the reducibility of the linear fractional Schrödinger equation with quasi-periodic time-dependent forcing.

Citations

• Newton's method and periodic solutions of nonlinear wave equations

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