Analytic characterization of stability islands on two point vortex systems
Chaotic Dynamics
2023-07-26 v1 Mathematical Physics
math.MP
Abstract
In a system of point vortices, there exist regions of stability around each vortex, even if the system is chaotic. These regions are usually called stability islands and they have a morphology that is hard to characterise. We study and characterise them in two point vortex systems in the infinite two-dimensional plane -- the simplest scenario -- by studying the dynamics of passive particles in these environments. We present computations for the perimeter and area of these islands and highlight the analytical expressions that define their boundary.
Cite
@article{arxiv.2307.13478,
title = {Analytic characterization of stability islands on two point vortex systems},
author = {Gil M. Marques and Sílvio Gama and Fernando L. Pereira},
journal= {arXiv preprint arXiv:2307.13478},
year = {2023}
}