Adiabatic Invariance and Transient Resonance in Very Slowly Varying Oscillatory Hamiltonian Systems

DOI10.1137/0152028zbMath0749.34030OpenAlexW1978715841MaRDI QIDQ4009471

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Publication date: 27 September 1992

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152028

zbMATH Keywords

asymptotic solutionsresonanceadiabatic invariantstransient resonancecanonical averaging techniquesHamiltonian standard formvery slowly varying oscillatory systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Singular perturbations for ordinary differential equations (34E15)

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Stationary phase theory and passage through resonance ⋮ Analysis of resonant oscillators with the Adomian decomposition method

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