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arXiv · 2009.13956

Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Misael Avendaño-Camacho·Alejandra Torres-Manotas·José A Vallejo
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Abstract

We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a $1:2$ resonance, by using techniques of geometric singular symplectic reduction combined with the more classical averaging method of Moser.

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Misael Avendaño-Camacho, Alejandra Torres-Manotas, José A Vallejo. 2020-09-27. Closed stable orbits in a strongly coupled resonant Wilberforce pendulum. https://doi.org/10.1177/1077546320986

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