Subharmonic solutions of a pendulum under vertical anharmonic oscillations of the point of suspension

DOI10.1134/S1560354717070024zbMath1433.70035OpenAlexW2793839734WikidataQ130206194 ScholiaQ130206194MaRDI QIDQ1795447

Hildeberto E. Cabral, Tiago de A. Amorim

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717070024

zbMATH Keywords

periodic motionssubharmonic solutionsmathematical pendulum

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Parametric stability of a charged pendulum with oscillating suspension point ⋮ Parametric stability of a charged pendulum with an oscillating suspension point

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Subharmonic solutions in the restricted three-body problem
• Some problems of the motion of a pendulum when there are horizontal vibrations of the point of suspension
• The stability of the equilibrium of a pendulum for vertical oscillations of the point of suspension
• On the chaotic dynamics of a spherical pendulum with a harmonically vibrating suspension
• Fourier Series Coefficients for Powers of the Jacobian Elliptic Functions

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