Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics
Dynamical Systems
2020-04-22 v1
Abstract
We prove the existence of at least two geometrically different periodic solution with winding number N for the forced relativistic pendulum. The instability of a solution is also proved. The proof is topological and based on the version of the Poincar\'e-Birkhoff theorem by Franks. Moreover, with some restriction on the parameters, we prove the existence of twist dynamics.
Keywords
Cite
@article{arxiv.1110.0851,
title = {Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics},
author = {Stefano Marò},
journal= {arXiv preprint arXiv:1110.0851},
year = {2020}
}