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Results tagged with billiards
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user 12357
Billiards are a class of dynamical systems in which a point particle moves uniformly in a domain $D\subset \mathbb{R}^d$ except for mirror-like reflections from the boundary. Varying $D$ leads to examples satisfying many ergodic properties. Billiards enhance visual explanations of dynamical concepts to students and the general public. There are many applications in physics and image processing. The free motion and/or reflection rule may be generalized.
3
votes
Dense orbits in billiards
It is possible for a billiard path to be dense and yet not be uniformly distributed. This is true for the triangle with angles $0.4\pi,0.3\pi,0.3\pi$. (See, for example, theorem 1.3 of http://homepage …
- 1,329
3
votes
Polygonal billards programs
You might find The Billiards Simulation useful. It seems to be a student project aimed at helping people visualize a chaotic dynamical system.
This is not an exact answer to your question. …
- 1,329