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.
|Journal||Chaos, Solitons & Fractals|
|Early online date||17 Feb 2023|
|Publication status||E-pub ahead of print - 17 Feb 2023|
- Bouncing ball
- Invariant curve
- Quasiperiodic motion