Nonlinear time-dependent anharmonic oscillator: Asymptotic behavior and connected invariants

DOI10.1063/1.525839zbMath0534.70024OpenAlexW2044056188MaRDI QIDQ3318177

Alain Munier, J. R. Burgan, Didier Besnard, Marc R. Feix, Eric Fijalkow

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525839

zbMATH Keywords

asymptotic behavior of solutionstime variant system

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear dynamics in mechanics (70K99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Time decay for solutions to one-dimensional two component plasma equations, Invariants for time-dependent potentials: Use of self-similar techniques, Time-dependent invariant associated to nonlinear Schrödinger–Langevin equations, Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family, Invariants for dissipative nonlinear systems by using rescaling, Partial integrability of the anharmonic oscillator, First integrals and symmetries of time-dependent Hamiltonian systems

Cites Work

• An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
• Schrödinger equation with time-dependent boundary conditions
• Asymptotic solutions of time dependent anharmonic oscillator equation