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.
Periodic solutions of a forced relativistic pendulum via twist dynamics
Maro', S.
2013-01-01
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.File in questo prodotto:
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