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Dynamics of flows and maps (continuous and discrete time), including infinite-dimensional dynamics, Hamiltonian dynamics, ergodic theory.

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. The progr …
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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 …
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