Closed stable orbits in a strongly coupled resonant Wilberforce pendulum

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.

Automated summary

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.