Nonholonomic reduction for free and proper actions

DOI10.1070/RD2002V007N01ABEH000196zbMath1011.70017OpenAlexW4242488364MaRDI QIDQ1860541

Richard H. Cushman, Jędrzej Śniatycki

Publication date: 24 February 2003

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

Full work available at URL: https://doi.org/10.1070/rd2002v007n01abeh000196

zbMATH Keywords

reductionsymmetry groupHamiltonian systemChaplygin's sleighnonholonomic constraintconstraint distributiongeneralized distributional Hamiltonian system

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (4)

Classical and quantum monodromy via action-angle variables ⋮ On the geometric quantization of the ro-vibrational motion of homonuclear diatomic molecules ⋮ Non-holonomic reduction of symmetries, constraints, and integrability ⋮ On the virial theorem for nonholonomic Lagrangian systems

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