On the periodic orbits of the perturbed Wilberforce pendulum

DOI10.1177/1077546314538299zbMath1358.34041OpenAlexW2047288719MaRDI QIDQ2971362

M. Teresa de Bustos, Miguel A. López, Raquel Martínez

Publication date: 5 April 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314538299

zbMATH Keywords

periodic orbitsaveraging theoryWilberforce pendulum

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)

Related Items (1)

Initial release condition dependent decoupling motion of a Wilberforce pendulum in the case of near resonance

Cites Work

• On the periodic solutions of a linear chain of three identical atoms
• Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat
• On the dynamics of the rigid body with a fixed point: periodic orbits and integrability
• Nonlinear dynamical analysis and parameters optimization of four semi-active on-off dynamic vibration absorbers
• A study on friction-tuned mass damper: harmonic solution and statistical linearization

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