Hamiltonicity and integrability of the Suslov problem

DOI10.1134/S1560354711010035zbMath1277.70008OpenAlexW2065684264MaRDI QIDQ2430539

Alexander A. Kilin, Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 7 April 2011

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

Full work available at URL: https://doi.org/10.1134/s1560354711010035

zbMATH Keywords

integrabilityPoisson bracketinvariant measureHamiltonian systemnonholonomic constraint

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

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Cites Work

• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
• Some multidimensional integrable cases of nonholonomic rigid body dynamics
• Dynamics of the \(n\)-dimensional Suslov problem
• 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
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