Lagrangian reduction by stages for non-holonomic systems in a Lie algebroid framework

DOI10.1088/0305-4470/38/47/008zbMath1078.70015OpenAlexW1995297324MaRDI QIDQ5714950

Tom Mestdag

Publication date: 16 December 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/38/47/008

zbMATH Keywords

symmetry groupLagrange-d'Alembert-Poincaré equations

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) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (6)

Reduction and reconstruction aspects of second-order dynamical systems with symmetry ⋮ Reduction of Lagrangian mechanics on Lie algebroids ⋮ Lagrange-d'Alembert-Poincaré equations by several stages ⋮ General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids ⋮ Discrete nonholonomic Lagrangian systems on Lie groupoids ⋮ A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS

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