ROUTH REDUCTION FOR SINGULAR LAGRANGIANS

DOI10.1142/S0219887810004907zbMath1237.70040arXiv1007.0325OpenAlexW3103831947MaRDI QIDQ3084715

Marco Castrillón López, Bavo Langerock

Publication date: 25 March 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0325

zbMATH Keywords

symmetryreductionsymplectic formmomentum mapconstrained Lagrangian systemssingular LagrangiansRouthian

Mathematics Subject Classification ID

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) Lagrange's equations (70H03)

Related Items (6)

Implicit Lagrange-Routh equations and Dirac reduction ⋮ Routh reduction of Palatini gravity in vacuum ⋮ Dirac’s analysis and Ostrogradskii’s theorem for a class of second-order degenerate Lagrangians ⋮ Routh reduction and Cartan mechanics ⋮ Aspects of reduction and transformation of Lagrangian systems with symmetry ⋮ Nonlinear splittings on fibre bundles

Cites Work

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• Dynamics of the tippe top via Routhian reduction
• Reduction in principal bundles: covariant Lagrange-Poincaré equations
• Reduction theory and the Lagrange–Routh equations
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Reduction of Hamilton's variational principle

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