Direct integration of generalized Lie or dynamical symmetries of three degrees of freedom nonlinear Hamiltonian systems: Integrability and separability

DOI10.1063/1.529858zbMath0784.58053OpenAlexW2046501541MaRDI QIDQ4697233

Muthusamy Lakshmanan, Murugaian Senthilvelan

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.529858

zbMATH Keywords

Hamiltonian systemsLie symmetriesintegrals of motion

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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Cites Work

• Dynamical symmetries and conserved quantities
• Generalized Lie symmetries and complete integrability of certain nonlinear Hamiltonian systems with three degrees of freedom
• Direct integration of generalized Lie symmetries of nonlinear Hamiltonian systems with two degrees of freedom: integrability and separability
• Symmetry groups and conserved quantities for the harmonic oscillator