Stationary phase theory and passage through resonance

DOI10.1006/jmaa.1996.5179zbMath0872.34036OpenAlexW2034182398MaRDI QIDQ1353820

L. A. Skinner

Publication date: 20 October 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.5179

zbMATH Keywords

asymptotic behaviourFourier integralspoint of resonance

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Analysis of resonant oscillators with the Adomian decomposition method ⋮ Power means of the Hurwitz zeta function over large intervals

Cites Work

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• Perturbation methods in applied mathematics
• Adiabatic Invariance and Transient Resonance in Very Slowly Varying Oscillatory Hamiltonian Systems
• Resonance for a Forced N-Dimensional Oscillator
• Matched asymptotic expansions of integrals
• Uniform asymptotic expansions of integrals with stationary point near algebraic singularity
• Passage Through Resonance for a One-Dimensional Oscillator with Slowly Varying Frequency
• Semi‐Resonant Interactions and Frequency Dividers
• Averaging methods in nonlinear dynamical systems

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