Dynamical invariants for two-dimensional time-dependent classical systems

DOI10.1063/1.526413zbMath0573.70007OpenAlexW2048637230MaRDI QIDQ3691115

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526413

zbMATH Keywords

complex Lagrangiansfirst integral quadratic in the velocitiestwo-dimensional Lagrangians

Mathematics Subject Classification ID

Hamilton's equations (70H05)

Related Items (6)

Dynamical algebraic approach and invariants for time-dependent Hamiltonian systems in two dimensions ⋮ Integrable classical systems in higher dimensions ⋮ Classical and quantum integrability for a class of potentials in two dimensions. ⋮ Complex invariants for some time-independent and time-dependent classical systems ⋮ Dynamical invariants for time-dependent real and complex Hamiltonian systems ⋮ Construction of the second constant of motion for two-dimensional classical systems

Cites Work

• Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)r −[μ/U(t)]r−2}]
• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• Dynamical Noether invariants for time-dependent nonlinear systems
• Time-dependent quadratic constants of motion, symmetries, and orbit equations for classical particle dynamical systems with time-dependent Kepler potentials
• Scattering by singular potentials with a perturbation—Theoretical introduction to Mathieu functions

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