First integrals for some nonlinear time-dependent Hamiltonian systems

DOI10.1063/1.526186zbMath0564.70018OpenAlexW2005389834MaRDI QIDQ3678722

H. Ralph Lewis, Willy Sarlet, Peter G. L. Leach

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526186

zbMATH Keywords

first integralself-consistent problems in plasma physicsnonlinear time-dependent Hamiltonian

Mathematics Subject Classification ID

Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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Cites Work

• A direct construction of first integrals for certain non-linear dynamical systems
• Adiabatic invariants for dynamical systems with one degree of freedom
• Conservation laws in classical mechanics for quasi-coordinates
• On nonlinear transformations for time-dependent polynomial Hamiltonians
• Asymptotic regularizations as an alternative to distributions for the study of singular hypersurfaces
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• A further note on the Hénon–Heiles problem
• Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
• Classification scheme for two-dimensional Ermakov-type systems and generalizations