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 relies on Aubry-Mather theory to obtain the existence of a family of minimal orbits of the Poincaré map associated to the system.

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

Maro S.
Primo
;
2020-01-01

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 relies on Aubry-Mather theory to obtain the existence of a family of minimal orbits of the Poincaré map associated to the system.
2020
Maro, S.; Ortega, V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1042840
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