Abstract
We prove the existence of at least two geometrically different periodic solutions 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 Poincaré-Birkhoff theorem by Franks. Moreover, with some restriction on the parameters, we prove the existence of twist dynamics.
Citation
Stefano Marò. "Periodic solutions of a forced relativistic pendulum via twist dynamics." Topol. Methods Nonlinear Anal. 42 (1) 51 - 75, 2013.
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