Parametric excitation of an internally resonant double pendulum

DOI10.1007/BF00944628zbMath0576.70019MaRDI QIDQ1064797

J. W. Miles

Publication date: 1985

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

zbMATH Keywords

resonanceinternalabsence of chaotic motionabsence of Hopf bifurcationsparametric domainssmall, vertical oscillationsymmetric triple pendulumtwo weakly damped, nonlinearly coupled pendulums

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items

Chaotic oscillations of a spherical pendulum as an example of interaction with an energy source ⋮ Two-to-one internal resonances in nonlinear two degree of freedom system with parametric and external excitations. ⋮ Parametric excitation of an internally resonant double pendulum. II ⋮ Homoclinic orbits in the dynamics of resonantly driven coupled pendula ⋮ Amplitude modulated chaos in two-degree-of-freedom systems with quadratic nonlinearities ⋮ Nonlinear passive control of a pendulum submitted to base excitations ⋮ Second-harmonic resonance with Faraday excitation

Cites Work

• Resonantly forced motion of two quadratically coupled oscillators
• A multiple pendulum for the demonstration of non-linear coupling
• Nonlinear Faraday resonance
• On Wilton's ripples: a special case of resonant interactions