On the Asymptotic Solution of Non‐Hamiltonian Systems Exhibiting Sustained Resonance

DOI10.1002/sapm199594283zbMath0831.70016OpenAlexW2524261725MaRDI QIDQ4834591

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Publication date: 28 June 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199594283

zbMATH Keywords

small parametermultiple scale method of Kuzmak-Luke

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

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• Explicit Approximations for Strictly Nonlinear Oscillators with Slowly Varying Parameters with Applications to Free-Electron Lasers
• On the Passage through Resonance
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• On the Problem of Sustained Resonance
• A perturbation method for nonlinear dispersive wave problems
• On a Model for Reentry Roll Resonance
• Averaging methods in nonlinear dynamical systems

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