Escape Orbits for Non-Compact Flat Billiards

Details Escape Orbits for Non-Compact Flat Billiards Escape Orbits for Non-Compact Flat Billiards

1996-02-23

arxiv.org/abs/chao-dyn/9602020v2

Chaos 6 (1996), no. 3, 428-431

Nonlinear Sciences

Chaotic Dynamics

9 pages, LaTeX, 3 postscript figures available at http://www.princeton.edu/~marco/papers/ . Minor changes since previously p

Scientific paper

10.1063/1.166173

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

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