Parametric excitation of an internally resonant double pendulum. II

DOI10.1007/BF00947912zbMath0619.70023MaRDI QIDQ1090119

J. W. Miles, Janet M. Becker

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

fixed pointschaotic motiondissipationevolution equationsparametric excitationresonance curvesbifurcation structureregular motiondamped, internally resonant double pendulumparametrically excited oscillationssatellite pendulumweakly nonlinear response

Mathematics Subject Classification ID

Nonlinear resonances for nonlinear problems in mechanics (70K30) Free motions in linear vibration theory (70J30)

Related Items

Homoclinic orbits in the dynamics of resonantly driven coupled pendula ⋮ Surface waves in closed basins under principal and autoparametric resonances ⋮ Faraday waves in 2:1 internal resonance ⋮ Second-harmonic resonance with Faraday excitation

Cites Work

• Parametric excitation of an internally resonant double pendulum
• Resonant motion of a spherical pendulum
• Resonantly forced motion of two quadratically coupled oscillators
• A multiple pendulum for the demonstration of non-linear coupling
• Oblique wave groups in deep water