Static and time-dependent perturbations of the classical elliptical billiard

Author:

Koiller Jair,Markarian Roberto,Oliffson Kamphorst Sylvie,Pinto de Carvalho Sônia

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference27 articles.

1. W. P. Barth, Elliptic moduli curves and Poncelet polygons, Advanced Workshop on Algebraic Geometry, ICTP, Trieste, Italy (1994).

2. M. V. Berry, Regularity and chaos in classical mechanics, illustrated by three deformations of a circular billiard,Eur. J. Phys. 2:91–102 (1981).

3. L. A. Bunimovich, On absolutely focusing mirrors, inErgodic Theory and Related Topics, U. Kringel et al., eds. (Springer, Berlin, 1993); L. A. Bunimovich, Conditions on stochasticity of two-dimensional billiards,Chaos 1:187–193 (1991).

4. E. Canale and R. Markarian, Simulación de billares planos, inAnales IEEE, Segundo Seminario de Informática en el Uruguay (1991), pp. 71–96; and private communication.

5. S.-J. Chang and R. Friedberg, Elliptical billiards and Poncelet's theorem,J. Math. Phys. 29(7):1537–1550 (1988).

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