A model of kicked billiard
Abstract
We suggest an investigation on a model of kicked billiard. Image a classical ball moving frictionlessly inside a infinitely-deep potential well with a circle shape and subjected by a tangent kicking force, which applies at the moment when it hits the circle wall, with the intensity proportional to the sinusoidal function of the ball's angel position. Suppose the ball's momentum along the normal direction suddenly increases a certain quantity when it moves from the upper semicircle to the lower one, and decreases the same quantity vise versa, the system can be described by a two-dimensional map, which is a piecewise continuous concatenation of two conservative sub-maps. Our numerical study shows that this system displays a linear contraction rate of phase space that should has some influence to characteristics of the system's dynamics.
- Publication:
-
APS March Meeting Abstracts
- Pub Date:
- March 2004
- Bibcode:
- 2004APS..MAR.R1123W