1997/04/04 by Eduardo Canale, Roberto Markarian, Sylvie Oliffson Kamphorst +2 · 1 citation
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #chao-dyn #nlin.CD
paper · pdf · doi:10.1016/s0167-2789(97)00232-7
13 pages, LaTeX. 7 postscript low resolution figures included. High resolution figures avaiable under request to [email protected]
arxiv created 1997/04/04 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.