Canonical transformations and exact invariants for dissipative systems
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Publication:3775033
DOI10.1063/1.527707zbMath0635.70015OpenAlexW2085609960MaRDI QIDQ3775033
Publication date: 1987
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527707
Vlasov-Poisson equationsauxiliary equationsexact invariantsErmakov problemtime-dependent oscillators with friction
Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Linear vibration theory (70J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
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Cites Work
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- Nonlinear superposition, higher-order nonlinear equations, and classical linear invariants
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- Time-dependent invariants and quantum mechanics in two dimensions
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- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- An application of Ray–Reid invariants
- An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
- Dynamical Noether invariants for time-dependent nonlinear systems
- Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
- Ermakov systems, velocity dependent potentials, and nonlinear superposition
- A Note on the Time-Dependent Harmonic Oscillator
- On a Generalization of the Lewis Invariant for the Time-Dependent Harmonic Oscillator
- Lie symmetries, nonlinear equations of motion and new Ermakov systems
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