A summary on symmetries and conserved quantities of autonomous Hamiltonian systems

DOI10.3934/jgm.2020009zbMath1460.37052arXiv1806.06265OpenAlexW2808705161MaRDI QIDQ2220271

Narciso Román-Roy

Publication date: 22 January 2021

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06265

zbMATH Keywords

symplectic manifoldsHamiltonian systemssymmetriesNoether theoremconserved quantities

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items

Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems ⋮ Symmetries, constants of the motion, and reduction of mechanical systems with external forces

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