Resonance and Symmetry Breaking for a Duffing Oscillator

DOI10.1137/0149058zbMath0671.70013OpenAlexW2057405311MaRDI QIDQ3823841

J. W. Miles

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1137/0149058

zbMATH Keywords

Lamé functionssymmetric solutionresonance curvesubcritical pitchfork bifurcationextended Fourier-series calculation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability for nonlinear problems in mechanics (70K20) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Perturbative treatment of conservative and non-conservative oscillators ⋮ A fast Galerkin method to obtain the periodic solutions of a nonlinear oscillator

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