Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard-Reference-Cited by-同舟云学术

Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard

Published:2023-09-30 Issue:12 Volume:33 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Anderson Keegan D.¹^ORCID

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of Johannesburg, Auckland Park, Johannesburg, Gauteng 2092, South Africa

Abstract

We investigate a rotated, orthogonal gravitational wedge billiard — a special case of the asymmetric gravitational wedge billiard — in which the dynamics are integrable. We derive equations and conditions under which periodic orbits may be constructed for this model, and show that any other trajectory will be dense in the configuration space.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127423501365

Reference32 articles.

1. Computational Study of the Dynamics of an Asymmetric Wedge Billiard

2. Integrability and ergodicity of classical billiards in a magnetic field

3. Regularity and chaos in classical mechanics, illustrated by three deformations of a circular 'billiard'

4. On the periodic motions of dynamical systems

5. Quantum chaos in a deformable billiard: Applications to quantum dots

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