Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex

preprint2019arXivOpen access

Abstract

We consider the model of a point-vortex under a periodic perturbation and give sufficient conditions for the existence of generalized quasi-periodic solutions with rotation number. The proof uses Aubry-Mather theory to obtain the existence of a family of minimal orbits of the Poincaré map associated to the system.

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