The existence of invariant curves of a kind of almost periodic twist mappings

2022/11/07 by Yingdu Dong, Xiong Li, Dong, Yingdu +1
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2211.03379

openalex publication_date 2022/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we are concerned with the existence of invariant curves of the planar twist mappings where the perturbations are almost periodic. As an application, the existence of almost periodic solutions and the boundedness of all solutions for pendulum-type equations with an almost periodic external force are proved.

Related

• Invariant curves of almost periodic twist mappings
• Invariant Curves of Almost Periodic Reversible Mappings
• On the existence of periodic invariant curves for analytic families of twist maps and billiards
• Almost periodic solutions for an asymmetric oscillation
• Invariant curves of smooth quasi-periodic mappings