Reduction of nonholonomic systems in two stages and Hamiltonization

DOI10.1088/0951-7715/28/8/2873zbMath1339.37047arXiv1409.0456OpenAlexW2963270415MaRDI QIDQ3196545

Oscar E. Fernandez, Paula Balseiro

Publication date: 29 October 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0456

zbMATH Keywords

nonholonomic systemsPoisson bracketsMarsden-Weinstein reductionHamiltonizationChaplygin reductionLagrange-Routh equationssympletic manifolds

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Related Items (9)

Jacobi fields in nonholonomic mechanics ⋮ Conserved quantities and Hamiltonization of nonholonomic systems ⋮ Hamiltonization of solids of revolution through reduction ⋮ Momentum map reduction for nonholonomic systems ⋮ Symmetries and reduction in nonholonomic mechanics ⋮ The geometry of nonholonomic Chaplygin systems revisited ⋮ Cartan meets Chaplygin ⋮ Poincaré transformations in nonholonomic mechanics ⋮ A geometric characterization of certain first integrals for nonholonomic systems with symmetries

This page was built for publication: Reduction of nonholonomic systems in two stages and Hamiltonization