The stability of periodic trajectories of a billiard ball in three dimensions

DOI10.1016/0021-8928(91)90103-2zbMath0788.70011OpenAlexW2048028438MaRDI QIDQ1314048

I. I. Chigur, Valery V. Kozlov

Publication date: 7 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(91)90103-2

zbMATH Keywords

wave propagationshortwave approximationconvex wallselastic reflectionstwo-part trajectory

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (6)

Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard ⋮ Double normals of most convex bodies ⋮ Counting collisions in an \(N\)-billiard system using angles between collision subspaces ⋮ The dynamics of a rigid body colliding with a rigid surface ⋮ On the stability of periodic trajectories of a planar Birkhoff billiard ⋮ The stability of two-link trajectories of a Birkhoff billiard

Cites Work

• A constructive method of establishing the validity of the theory of systems with non-retaining constraints
• Unnamed Item

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