Symmetry of Lagrangians of nonholonomic systems

DOI10.1016/J.PHYSLETA.2007.11.030zbMath1220.70012OpenAlexW2092051687MaRDI QIDQ637236

Feng-Xiang Mei, Hui-bin Wu

Publication date: 2 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.11.030

zbMATH Keywords

symmetrynonholonomic systemconserved quantitysymmetry of lagrangians

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) Lagrange's equations (70H03)

Cites Work

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• Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
• Extension of Noether's theorem to constrained non-conservative dynamical systems
• Noether's theory in classical nonconservative mechanics
• Lie symmetries and conserved quantities of constrained mechanical systems
• Dynamical symmetries and conserved quantities
• Equivalent Lagrangians: Multidimensional case
• On the Lie symmetries of the classical Kepler problem
• Generalizations of Noether’s Theorem in Classical Mechanics
• Symmetries, first integrals, and the inverse problem of Lagrangian mechanics. II
• Symmetries of Lagrangians and of their equations of motion

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