Projective dynamics and an integrable Boltzmann billiard model

DOI10.1142/S0219199721500851MaRDI QIDQ5048645

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Publication date: 16 November 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15257

zbMATH Keywords

integrable billiardsprojective dynamicsKepler-Coulomb problemmechanical correspondence

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) (n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35) Dynamical systems with singularities (billiards, etc.) (37C83) Completely integrable discrete dynamical systems (37J70)

Related Items (3)

Projective integrable mechanical billiards ⋮ Chaotic dynamics in refraction galactic billiards ⋮ Conformal transformations and integrable mechanical billiards

Cites Work

• Unnamed Item
• There is a projective dynamics
• Projective dynamics and first integrals
• Projective dynamics and classical gravitation
• Poncelet property and quasi-periodicity of the integrable Boltzmann system
• Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
• Nonequilibrium and irreversibility
• Two degrees of freedom quasi-bi-Hamiltonian systems

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