Hamiltonian representation and integrability of the Suslov problem

MaRDI QIDQ6653602

I. S. Mamaev, Alexander A. Kilin, A. V. Borisov

Publication date: 16 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

integrabilityPoisson bracketinvariant measureHamiltonian systemnonholonomic constraint

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)

Cites Work

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• Some multidimensional integrable cases of nonholonomic rigid body dynamics
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• Kovalevskaya exponents and Poisson structures
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• Rolling of a ball on a surface. New integrals and hierarchy of dynamics
• The Poisson equations in the nonholonomic Suslov problem: integrability, meromorphic and hypergeometric solutions
• Generalizations of classical integrable nonholonomic rigid body systems
• Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem onSO(4)
• The Writhing Number of a Space Curve
• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems

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