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
Pages (from-to)	892-901
Number of pages	10
Journal	JVC/Journal of Vibration and Control
Volume	28
Issue number	7-8
DOIs	https://doi.org/10.1177/1077546320986023
State	Published - 1 Jan 2021

Bibliographical note

Publisher Copyright:
© The Author(s) 2021.

Keywords

geometric singular perturbation theory
stable orbits
Wilberforce pendulum

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10.1177/1077546320986023

Cite this

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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.",

keywords = "geometric singular perturbation theory, stable orbits, Wilberforce pendulum",

author = "Misael Avenda{\~n}o-Camacho and Alejandra Torres-Manotas and Vallejo, {Jos{\'e} Antonio}",

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AU - Torres-Manotas, Alejandra

AU - Vallejo, José Antonio

N1 - Publisher Copyright: © The Author(s) 2021.

PY - 2021/1/1

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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.

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KW - Wilberforce pendulum

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U2 - 10.1177/1077546320986023

DO - 10.1177/1077546320986023

M3 - Artículo

AN - SCOPUS:85100574073

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JO - JVC/Journal of Vibration and Control

JF - JVC/Journal of Vibration and Control

IS - 7-8

ER -

Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

Abstract

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Keywords

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