Wire billiards, the first steps

DOI10.1016/j.aim.2020.107154zbMath1477.37035arXiv1905.13617OpenAlexW3016293827MaRDI QIDQ2180909

Andrey E. Mironov, Misha Bialy, Sergei Tabachnikov

Publication date: 15 May 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13617

zbMATH Keywords

causticsintegrable billiardstwist mapswire billiards

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (7)

The Birkhoff-Poritsky conjecture for centrally-symmetric billiard tables ⋮ Self-Bäcklund curves in centroaffine geometry and Lamé’s equation ⋮ On differential equations of integrable billiard tables ⋮ On some refraction billiards ⋮ Discrete geodesic flows on Stiefel manifolds ⋮ Counting collisions in an \(N\)-billiard system using angles between collision subspaces ⋮ Refraction periodic trajectories in central mass galaxies

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