Solutions of the Hamilton equations for time-dependent Hamiltonian systems by means of solvable Lie algebras of symmetries

DOI10.1016/S0034-4877(22)00024-6OpenAlexW4225264273WikidataQ114122509 ScholiaQ114122509MaRDI QIDQ2673154

R. Azuaje

Publication date: 9 June 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(22)00024-6

zbMATH Keywords

solvable Lie algebrasHamiltonian systemsquadraturesLie's theoremtime-dependent constants of motion

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Mechanics of particles and systems (70-XX)

Related Items (1)

Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems

Cites Work

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• Manifolds, tensor analysis, and applications.
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Revisiting Lie integrability by quadratures from a geometric perspective
• An Introduction to Hamiltonian Mechanics
• Introduction to Classical Integrable Systems
• Differentiable Manifolds
• Geometry of Lie integrability by quadratures
• Integrable Hamiltonian hierarchies. Spectral and geometric methods

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