Lie symmetries and conserved quantities of Birkhoffian system

DOI10.1016/S0093-6413(98)00093-7zbMath0983.70531WikidataQ126389101 ScholiaQ126389101MaRDI QIDQ1976699

Yongfa Zhang, Feng-Xiang Mei, Mei Shang

Publication date: 10 May 2000

Published in: Mechanics Research Communications (Search for Journal in Brave)

zbMATH Keywords

inverse problemconserved quantitiesLie symmetriesBirkhoffian systemsdirect problem

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (6)

Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems ⋮ Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems ⋮ Routh Order Reduction Method of Relativistic Birkhoffian Systems ⋮ A new type of conserved quantity induced by symmetries of Lagrange system ⋮ Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem

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