Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
JournalJVC/Journal of Vibration and Control
DOIs
StatePublished - 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

Fingerprint

Dive into the research topics of 'Closed stable orbits in a strongly coupled resonant Wilberforce pendulum'. Together they form a unique fingerprint.

Cite this