Analytic characterization of stability islands on two point vortex systems

Author:

Gil M. Marques, Sílvio Gama, Fernando L. Pereira

Keyword:

Nonlinear Sciences, Chaotic Dynamics, Chaotic Dynamics (nlin.CD), Mathematical Physics (math-ph)

journal:

date:

2023-07-24 16:00:00

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.

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