Integrable systems in the dynamics on the tangent bundle of a two-dimensional sphere

DOI10.3103/S0027133016020011zbMath1373.37142OpenAlexW2463208082MaRDI QIDQ2360191

M. V. Shamolin

Publication date: 27 June 2017

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027133016020011

zbMATH Keywords

geodesic flowrigid bodymechanical systemnonconservative system

Mathematics Subject Classification ID

Kinematics of a rigid body (70B10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics of multibody systems (70E55) Integrable cases of motion in rigid body dynamics (70E40)

Cites Work

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• Dynamical systems with variable dissipation: approaches, methods, and applications
• New cases of integrability in the spatial dynamics of a rigid body
• Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems
• On integrability in transcendental functions

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