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Escape Orbits for Non-Compact Flat Billiards

Marco Lenci
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Abstract

It is proven that, under some conditions on $f$, the non-compact flat billiard $Ω= \{ (x,y) \in \R_0^{+} \times \R_0^{+};\ 0\le y \le f(x) \}$ has no orbits going {\em directly} to $+\infty$. The relevance of such sufficient conditions is discussed.

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Marco Lenci. 1996-04-15. Escape Orbits for Non-Compact Flat Billiards. https://doi.org/10.1063/1.166173

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