Noether symmetries and integrability in time-dependent Hamiltonian mechanics

DOI10.2298/TAM160121009JzbMath1474.37059arXiv1608.07788OpenAlexW2482783139MaRDI QIDQ4986500

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Publication date: 27 April 2021

Published in: Theoretical and Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07788

zbMATH Keywords

symmetriesNoether theoremPoincaré-Cartan formprinciple of stationary actioncontact Hamiltonian vector fields

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Hamilton's principle (70H25) Contact manifolds (general theory) (53D10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Contact systems (37J55) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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