The Hojman construction and hamiltonization of nonholonomic systems

DOI10.3842/SIGMA.2016.012zbMath1331.37087arXiv1510.00181OpenAlexW2204025302MaRDI QIDQ908283

Alexey V. Borisov, Ivan. A. Bizyaev, Ivan. S. Mamaev

Publication date: 4 February 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00181

zbMATH Keywords

Poisson bracketinvariant measureChaplygin sleighCasimir functionsHamiltonizationSuslov problemnonholonomic hinge

Mathematics Subject Classification ID

Related Items (6)

Superintegrable cases of four-dimensional dynamical systems ⋮ Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Infinitesimal time reparametrisation and its applications ⋮ Inverse Jacobi multiplier as a link between conservative systems and Poisson structures ⋮ Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane

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