Glancing billiards-Reference-Cited by-同舟云学术

Glancing billiards

Published:1982-12 Issue:3-4 Volume:2 Page:397-403
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Mather John N.

Abstract

AbstractConsider the billiard ball problem in an open, convex, bounded region of the plane whose boundary is C2 and has at least one point of zero curvature. Then there are trajectories which come arbitrarily close to being positively tangent to the boundary and also come arbitrarily close to being negatively tangent to the boundary.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. [6] Newman R. P. A. C. & Percival I. C. . Bounds on domains in phase space for Lagrangian systems with discrete time. Preprint, Queen Mary College.

2. [5] Mather J. N. . Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. (To appear in Topology.)

3. On the ergodic properties of nowhere dispersing billiards

4. Surface transformations and their dynamical applications;Birkhoff;Ada Math.,1922

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