On the full number of collisions in certain one-dimensional billiard problems

DOI10.1070/RD2006V011N01ABEH000334zbMATH Open1133.70329OpenAlexW4253452546MaRDI QIDQ2425522

I. V. Gorelyshev

Publication date: 5 May 2008

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rd2006v011n01abeh000334

zbMATH Keywords

billiardadiabatic approximationcanonical perturbation theory

Mathematics Subject Classification ID

Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Collision of rigid or pseudo-rigid bodies (70F35) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (4)

The combinatorics of the colliding bullets ⋮ A State Transition Diagram for Simultaneous Collisions with Application in Billiard Shooting ⋮ Uniform estimates on the number of collisions in semi-dispersing billiards ⋮ On the number of bouncing ball modes in billiards

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