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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Maro, Stefano¹  Ortega, Victor² 

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

[2] Univ Granada, Dept Matemat Aplicada, Granada 18071, Spain

关键词: Perturbed vortex dynamics;    Aubry-Mather sets;    Quasi-periodic solutions;    Dynamics around a singularity;   

DOI  :  10.1016/j.jde.2020.03.009

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free