Rotation functions of integrable billiards as orbital invariants
DOI10.1134/S1064562424701722zbMATH Open1546.371MaRDI QIDQ6545157
A. T. Fomenko, G. V. Belozerov
Publication date: 29 May 2024
Published in: Doklady Mathematics (Search for Journal in Brave)
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) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Caustics of Poncelet polygons and classical extremal polynomials
- Description of singularities for billiard systems bounded by confocal ellipses or hyperbolas
- Billiards and integrability in geometry and physics. New scope and new potential
- Periods of pseudo-integrable billiards
- Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses
- Minkowski plane, confocal conics, and billiards
- Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances
- A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
- A topological classification of billiards in locally planar domains bounded by arcs of confocal quadrics
- Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
- Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards
- Algebra of operators on the ring of polytopes and quasi-symmetric functions
This page was built for publication: Rotation functions of integrable billiards as orbital invariants
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6545157)