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arXiv · 1110.0851

Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics

Stefano Marò
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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.

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Stefano Marò. 2011-10-04. Periodic Solutions of a Forced Relativistic Pendulum via Twist Dynamics. https://arxiv.org/abs/1110.0851

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