Contact complete integrability

DOI10.1134/S1560354710040076zbMath1203.37094arXiv0910.0375OpenAlexW3101277507MaRDI QIDQ618230

Sergei Tabachnikov, Boris A. Khesin

Publication date: 14 January 2011

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

Full work available at URL: https://arxiv.org/abs/0910.0375

zbMATH Keywords

contact structurecomplete integrabilitybilliard mapLegendrian foliationpseudo-Euclidean geometry

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Contact systems (37J55)

Related Items

Virtual billiards in pseudo-Euclidean spaces: discrete Hamiltonian and contact integrability, New integrable (\(3+1\))-dimensional systems and contact geometry, Bott‐integrable Reeb flows on 3‐manifolds, Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems, Integrable systems and group actions, Contact flows and integrable systems, Heisenberg model in pseudo-Euclidean spaces. II., Quasimorphisms on contactomorphism groups and contact rigidity, A conceptual approach to the problem of action-angle variables, Heisenberg model in pseudo-Euclidean spaces, Noether symmetries and integrability in time-dependent Hamiltonian mechanics, Integrable systems in cosymplectic geometry

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