Classification of Liouville foliations of integrable topological billiards in magnetic fields

DOI10.4213/SM9770EzbMath1526.37075MaRDI QIDQ6137411

V. V. Vedyushkina, S. E. Pustovoitov

Publication date: 2 September 2023

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

Full work available at URL: http://mathnet.ru/eng/sm9770

zbMATH Keywords

magnetic fieldintegrable systemsFomenko-Zieschang invariantLiouville foliationtopological billiard

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Motion of a rigid body with a fixed point (70E17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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Billiards and integrable systems

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