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

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… Click to show full abstract

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 Poincare map associated to the system.

Keywords: twist dynamics; mather sets; point vortex; dynamics aubry; aubry mather

Journal Title: Journal of Differential Equations
Year Published: 2020

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