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.
Bibliographical noteFunding 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.
© The Author(s) 2021.
- geometric singular perturbation theory
- stable orbits
- Wilberforce pendulum