Hamiltonization of elementary nonholonomic systems

DOI10.1134/S1061920815040032zbMath1360.70022arXiv1601.00884MaRDI QIDQ259923

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

Publication date: 18 March 2016

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00884

zbMATH Keywords

Chaplygin sleighHeisenberg systemmethod of Chaplygin's reducing multipliernonholonomic oscillator

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03)

Related Items

Bäcklund transformations for the nonholonomic Veselova system, 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, Existence of invariant volumes in nonholonomic systems subject to nonlinear constraints, Rolling of a symmetric sphere on a horizontal plane without sliding or spinning, Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations, Integrability of nonholonomic Heisenberg type systems, Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators, Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane

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