Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
Dynamical Systems
2020-06-11 v1
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 Poincar\'e map associated to the system.
Cite
@article{arxiv.1907.07050,
title = {Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex},
author = {Stefano Marò and Vìctor Ortega},
journal= {arXiv preprint arXiv:1907.07050},
year = {2020}
}