37 citations · 179 across the 18 of their papers we have counts for
5 papers · 2 filters
Chaotic motion in the breathing circle billiard
Claudio Bonanno, Stefano Marò
We consider the free motion of a point particle inside a circular billiard with periodically moving boundary, with the assumption that the collisions of the particle with the bound…
Chaotic dynamics in an impact problem
Stefano Marò
We consider the model describing the vertical motion of a ball falling with constant acceleration on a wall and elastically reflected. The wall is supposed to move in the vertical…
A mechanical counterexample to KAM theory with low regularity
Stefano Marò
We give a mechanical example concerning the fact that some regularity is necessary in KAM theory. We consider the model given by the vertical bouncing motion of a ball on a periodi…
Coexistence of bounded and unbounded motions in a bouncing ball model
Stefano Marò
We consider the model describing the vertical motion of a ball falling with constant acceleration on a wall and elastically reflected. The wall is supposed to move in the vertical…
Diffusion and chaos in a bouncing ball model
Stefano Marò
We consider the vertical motion of a free falling ball bouncing elastically on a racket moving in the vertical direction according to a regular periodic function . We give a suf…