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Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics

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 Poincaré-Birkhoff theorem by Franks. Moreover, with some restriction on the parameters, we prove the existence of twist dynamics.

preprint2011arXivOpen access
Stefano Marò
math.DS
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Stefano Marò

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