Scaling Invariance in a Time-Dependent Elliptical Billiard

Details Scaling Invariance in a Time-Dependent Elliptical Billiard Scaling Invariance in a Time-Dependent Elliptical Billiard

2011-03-31

arxiv.org/abs/1103.6223v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary are assumed to be elastic. Our results confirm that although the static elliptical billiard is an integrable system, after to introduce time-dependent perturbation on the boundary the unlimited energy growth is observed. The behaviour of the average velocity is described using scaling arguments.

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