Dynamical Noether symmetries

DOI10.1088/0305-4470/15/7/018zbMath0499.70028OpenAlexW1997025344MaRDI QIDQ3965620

T. M. Kalotas, Brian G. Wybourne

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/7/018

zbMATH Keywords

infinitesimal canonical transformationsfirst integralNoether's theoremdynamical Noether symmetries

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (10)

Quadratic integrals of a multi-scalar cosmological model ⋮ Exact solutions for a scalar-tensor theory through symmetries ⋮ Quadratic first integrals of autonomous conservative dynamical systems ⋮ Lie point symmetries of a general class of PDEs: the heat equation ⋮ The geometric origin of Lie point symmetries of the Schrödinger and the Klein–Gordon equations ⋮ Conservation laws and exact solutions in Brans-Dicke cosmology with a scalar field ⋮ Quadratic conservation laws and collineations: a discussion ⋮ Variational contact symmetries of constrained Lagrangians ⋮ First integrals of holonomic systems without Noether symmetries ⋮ New cosmological solutions in hybrid metric-Palatini gravity from dynamical symmetries

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