Billiards in confocal quadrics as a Pluri-Lagrangian system

DOI10.2298/TAM160304008SzbMath1474.37064arXiv1511.06123OpenAlexW2501455587MaRDI QIDQ4986498

Yuri Borisovich Suris

Publication date: 27 April 2021

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

Full work available at URL: https://arxiv.org/abs/1511.06123

zbMATH Keywords

variational principlesintegrable systemsbilliardintegrals of motionconfocal quadricscommuting flows

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Other variational principles in mechanics (70H30) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (4)

Gutkin billiard tables in higher dimensions and rigidity ⋮ Heisenberg model in pseudo-Euclidean spaces. II. ⋮ Variational symmetries and pluri-Lagrangian systems in classical mechanics ⋮ Billiards on constant curvature spaces and generating functions for systems with constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms
• On 4-reflective complex analytic planar billiards
• Integrable discrete-time systems and difference operators
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• On Bäcklund transformations for many-body systems

This page was built for publication: Billiards in confocal quadrics as a Pluri-Lagrangian system