A Lower Bound for Chaos on the Elliptical Stadium
Canale, Eduardo · Markarian, Roberto · Kamphorst, Sylvie Oliffson · de Carvalho, Sonia Pinto
Original · EN
The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses by two parallel segments of equal length. The billiard inside it, as a map, generates a two parameters family of dynamical systems. It is known that the system is ergodic for a certain region of the parameter space. In this work we study the stability of a particular family of periodic orbits obtaining good bounds for the chaotic zone.
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