%0 Journal Article
%T Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics
%A Stefano Mar¨°
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1110.0851v1