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Chaotic Properties of the Elliptical Stadium

Roberto Markarian·Sylvie Oliffson Kamphorst·Sonia Pinto de Carvalho
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Abstract

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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Roberto Markarian, Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho. 1995-01-04. Chaotic Properties of the Elliptical Stadium. https://doi.org/10.1007/bf02101531

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