Journal
JOURNAL OF VIBRATION AND CONTROL
Volume 28, Issue 7-8, Pages 892-901Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1077546320986023
Keywords
Wilberforce pendulum; geometric singular perturbation theory; stable orbits
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Funding
- Mexican CONACyT Research Project [CB-258302]
- Mexican CONACyT [A1-S-19428]
- Mexican CONACyT graduate student grant
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By combining techniques of singular geometric reduction with the more classical averaging method of Moser, we have proven the existence of closed stable orbits in a strongly coupled Wilberforce pendulum at a 1:2 resonance.
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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