Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Misael Avendaño-Camacho; Alejandra Torres-Manotas; José Antonio Vallejo

doi:10.1177/1077546320986023

Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Misael Avendaño-Camacho, Alejandra Torres-Manotas, José Antonio Vallejo

Research output: Contribution to journal › Article › peer-review

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 singular geometric reduction combined with the more classical averaging method of Moser.

Original language	English
Journal	JVC/Journal of Vibration and Control
DOIs	https://doi.org/10.1177/1077546320986023
State	Published - 1 Jan 2021

Bibliographical note

Funding Information:
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: MAC was partially supported by a Mexican CONACyT Research Project code CB-258302, ATM was supported by a Mexican CONACyT graduate student grant, and JAV was partially supported by a Mexican CONACyT Research Project code A1-S-19428.

Publisher Copyright:
© The Author(s) 2021.

Keywords

geometric singular perturbation theory
stable orbits
Wilberforce pendulum

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title = "Closed stable orbits in a strongly coupled resonant Wilberforce pendulum",

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 singular geometric reduction combined with the more classical averaging method of Moser.",

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AU - Avendaño-Camacho, Misael

AU - Torres-Manotas, Alejandra

AU - Vallejo, José Antonio

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N2 - 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 singular geometric reduction combined with the more classical averaging method of Moser.

AB - 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 singular geometric reduction combined with the more classical averaging method of Moser.

KW - geometric singular perturbation theory

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KW - Wilberforce pendulum

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U2 - 10.1177/1077546320986023

DO - 10.1177/1077546320986023

M3 - Artículo

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JF - JVC/Journal of Vibration and Control

SN - 1077-5463

ER -

Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Abstract

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