Resonance in a Weakly Nonlinear System with Slowly Varying Parameters

DOI10.1002/sapm198062123zbMath0487.70027OpenAlexW142296665MaRDI QIDQ3948643

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1002/sapm198062123

zbMATH Keywords

singular perturbationnumerical experimentsadiabatic invariantweakly coupled oscillatorssmall divisorHenon-Heiles systempassage through resonancefirst order resonanceaction not conservedjump in actionmultiple time scale expansionsmultiple-variable expansionsequence of three perturbation expansions

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Galactic and stellar dynamics (85A05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Internal resonances in nonlinearly-coupled oscillators, Resonant Modal Interactions and Adiabatic Invariance for a Nonlinear Wave Equation in a Variable Domain, Linearly Coupled, Slowly Varying Oscillators: The Interaction of a Positive-Energy Mode With a Negative-Energy Mode, Triad Resonance for Weakly Coupled, Slowly Varying Oscillators, Analysis of resonant oscillators with the Adomian decomposition method, Point resonance in a system of two oscillators, Internal Resonances in Weakly Nonlinearly Coupled Oscillators with Slowly Varying Parameters, Internal Resonances in Weakly Nonlinearly Coupled Oscillators with Slowly Varying Parameters, Adiabatic Invariance and Passage Through Resonance for Nearly Periodic Hamiltonian Systems

Cites Work

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