Resonance and symmetry breaking for the pendulum

DOI10.1016/0167-2789(88)90079-6zbMath0656.70024OpenAlexW2028921629MaRDI QIDQ1110362

J. W. Miles

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90079-6

zbMATH Keywords

stability boundariesperiodic forcingbifurcation pointssynchronismresonance curvesPeriodic solutionsaverage LagrangianFourier-series determinationlightly damped pendulumsymmetric swinging oscillations

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Free motions in linear vibration theory (70J30) Dynamical systems and ergodic theory (37-XX)

Related Items (7)

Asymptotic analysis of resonances in nonlinear vibrations of the 3-dof pendulum ⋮ Approximations for period-1 rotation of vertically and horizontally excited parametric pendulum ⋮ Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation ⋮ Analysing the chaotic motion of a driven pendulum ⋮ Chaos in mechanical systems -- a review ⋮ Self-sustained vibrations in the system of a bi-harmonically driven pendulum ⋮ THE OSCILLATION–ROTATION ATTRACTORS IN THE FORCED PENDULUM AND THEIR PECULIAR PROPERTIES

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Resonant motion of a spherical pendulum
• Experimental study of chaos in a driven pendulum
• VII—Further Investigations into the Periodic Lamé Functions

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