Symmetries and constants of the motion for higher-order Lagrangian systems

DOI10.1063/1.530952zbMath0845.70012OpenAlexW2043761530MaRDI QIDQ4873268

Manuel de León, David Martín de Diego

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1063/1.530952

zbMATH Keywords

classification of infinitesimal symmetriestheory of lifts of vector fields to tangent bundles

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Related Items

A GEOMETRIC SETTING FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS, Hamiltonian analysis for linearly acceleration-dependent Lagrangians, Symmetries and constants of the motion for singular Lagrangian systems, Higher-order contact mechanics, Infinitesimal symmetries in contact Hamiltonian systems, On the geometry of the Schmidt-Legendre transformation, HIGHER-ORDER DISCRETE LAGRANGIAN MECHANICS, Symmetries, constants of the motion, and reduction of mechanical systems with external forces, Unnamed Item, NONHOLONOMIC DYNAMICS OF SECOND ORDER AND THE HEISENBERG SPINNING PARTICLE

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