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

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.

URI:

https://hdl.handle.net/10651/70922

DOI:

10.1016/j.jde.2020.03.009

Patrocinado por:

1Partially supported by the project ‘Geometric and numerical analysis of dynamical systems and applications to mathematical physics’ (MTM2016-76072-P), the ‘Juan de la Cierva-Formación’ Programme (FJCI-2015-24917), and by the project ‘Regular and stochastic behaviour in dynamical systems’, (PRIN 2017S35EHN).