Minimal normal forms in harmonic oscillations with small nonlinear perturbations

DOI10.1016/0167-2789(91)90108-LzbMath0748.34019MaRDI QIDQ1181303

Peter B. Kahn, Yair Zarmi

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

normal formreal analytic autonomous systems of differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Freedom in minimal normal forms ⋮ Reduction of secular error in approximations to harmonic oscillator systems with nonlinear perturbations ⋮ Time dependence of operators in anharmonic quantum oscillators: Explicit perturbative analysis

Cites Work

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• Hamiltonian Systems
• Perturbation methods and non-linear hyperbolic waves
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