A lower bound for chaos on the elliptical stadium.
Resumen:
The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses, with half axes a > 1 and b = 1, by two parallel segments of equal length 2h. Donnay [Comm. Math. Phys. 141 (1991) 225–257] proved that if 1 < a < 2 and if h is large enough then the corresponding billiard map has non-vanishing Lyapunov exponents almost everywhere; moreover h → ∞ as a → 2. In a previous paper [Markarian et al. Comm. Math. Phys. 174 (1996) 661–679] we found a bound for h assuring the K-property for these billiards, for values of a very close to 1. In this work we study the stability of a particular family of periodic orbits obtaining a new bound for the chaotic zone for any value of a <2.}
| 1998 | |
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Cooperación Regional Francesa, FAPEMIG (Brasil), el Programa de Recursos Humanos del PEDECIBA/CONICYT y la Cooperación Internacional de la Universidad de la República (Uruguay) Beca CAPES (Brasil) Apoyo parcial del CSIC, Universidad de la República (Uruguay) CNPq (Brasil) |
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Transition to chaos Classical two-parameter billiards Ellipticity and hyperbolicity of periodic orbits} |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/49700 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
