Closed stable orbits in a strongly coupled resonant Wilberforce pendulum
Mathematical Physics
2024-09-04 v1 Dynamical Systems
math.MP
Chaotic Dynamics
Abstract
We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a resonance, by using techniques of geometric singular symplectic reduction combined with the more classical averaging method of Moser.
Keywords
Cite
@article{arxiv.2009.13956,
title = {Closed stable orbits in a strongly coupled resonant Wilberforce pendulum},
author = {Misael Avendaño-Camacho and Alejandra Torres-Manotas and José A Vallejo},
journal= {arXiv preprint arXiv:2009.13956},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1703.08929