Topological classification of the Goryachev integrable case in rigid body dynamics

DOI10.1070/SM8520zbMath1347.37106MaRDI QIDQ2812511

S. S. Nikolaenko

Publication date: 16 June 2016

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

zbMATH Keywords

integrable Hamiltonian systemtopological classificationLiouville foliationmarked moleculeGoryachev case

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems in classical and celestial mechanics (37N05) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (4)

Integrable topological billiards and equivalent dynamical systems ⋮ Topological classification of the Goryachev integrable systems in the rigid body dynamics: non-compact case ⋮ An elliptic billiard in a potential force field: classification of motions, topological analysis ⋮ Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards

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