Boundedness of solutions for a bouncing ball model with quasiperiodic moving wall

Denghui Li, Xiaoming Zhang, Xianbin Liu, Jianhua Xie and Celso Grebogi

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: In this work, we consider the model of a free falling ball on a wall that is elastically reflected. The wall is supposed to move in the vertical direction according to a given quasiperiodic function. Based on the invariant curve theorem of smooth quasiperiodic twist map, we prove the boundedness of all solutions and the existence of quasi-periodic solutions for the system.

Keywords: Bouncing ball; Invariant curve; Quasiperiodic motion; Boundedness (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001698

DOI: 10.1016/j.chaos.2023.113268

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