Numerical study of a three-dimensional generalized stadium billiard

Journal Article · Sat Apr 01 00:00:00 EST 2000 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.61.4626· OSTI ID:20216099

Papenbrock, Thomas ^[1]

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1. Institute for Nuclear Theory, Department of Physics, University of Washington, Seattle, Washington 98195 (United States)

We study a generalized three-dimensional stadium billiard and present strong numerical evidence that this system is completely chaotic. In this convex billiard chaos is generated by the defocusing mechanism. The construction of this billiard uses cylindrical components as the focusing elements and thereby differs from the recent approach pioneered by Bunimovich and Rehacek [Commun. Math. Phys. 189, 729 (1997)]. We investigate the stability of lower-dimensional invariant manifolds and discuss bouncing ball modes. (c) 2000 The American Physical Society.

• OSTI ID: 20216099
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, Issue 4; Other Information: PBD: Apr 2000; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
DYNAMICS
PHASE SPACE
NUMERICAL SOLUTION
THEORETICAL DATA