Chaotic Properties of the Elliptical Stadium

Details Chaotic Properties of the Elliptical Stadium Chaotic Properties of the Elliptical Stadium

1995-01-04

arxiv.org/abs/chao-dyn/9501004v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX, 19 pages, 7 figures and legends stored in uuencoded file

Scientific paper

10.1007/BF02101531

The elliptical stadium is a curve constructed by joining two half-ellipses,
with half axes a>1 and b=1, by two straight segments of equal length 2h. In
this work we find bounds on h, for a close to 1, to assure the positiveness of
a Lyapunov exponent. We conclude that, for these values of a and h, the
elliptical stadium billiard mapping is ergodic and has the K-property.

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