On nonlinear transformations for time-dependent polynomial Hamiltonians

DOI10.1063/1.523934zbMath0424.70024OpenAlexW1969714454MaRDI QIDQ3859312

Peter G. L. Leach

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.523934

zbMATH Keywords

quadratic Hamiltoniansnon-linear time-dependent transformations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Nonlinear dynamics in mechanics (70K99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (3)

An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity ⋮ First integrals for some nonlinear time-dependent Hamiltonian systems ⋮ Exact invariants for a class of time-dependent nonlinear Hamiltonian systems

Cites Work

• Theory of the alternating-gradient synchrotron
• Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal's asymptotic theory in closed form. II
• Canonical transforms, separation of variables, and similarity solutions for a class of parabolic differential equations
• On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• The Adiabatic Invariant of the Linear or Nonlinear Oscillator
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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