Nontrivial paths and periodic orbits of the $T$-fractal billiard table

We introduce and prove numerous new results about the orbits of the $T$-fractal billiard. Specifically, in Section 3, we give a variety of sufficient conditions for the existence of a sequence of compatible periodic orbits. In Section 4, we examine the limiting behavior of particular sequences of co...

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Hauptverfasser:	Lapidus, Michel L, Miller, Robyn L, Niemeyer, Robert G
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems
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