Vortex dynamics in evolutive flows: a weakly chaotic phenomenon

TL;DR

This paper investigates vortex dynamics in evolutive flows, revealing that the underlying process is weakly chaotic and driven by a complex hidden mechanism at the edge of stationarity, using advanced statistical and entropy analysis.

Contribution

It introduces a combined compression and entropy diffusion method to analyze vortex dynamics, uncovering the weakly chaotic nature and the hidden complexity of the driving process.

Findings

Vortex dynamics exhibit weak chaos.

Hidden driving process is at the border of stationarity.

Wavelet analysis reveals the chaotic nature.

Abstract

We study the vortex dynamics in an evolutive flow. We carry out the statistical analysis of the resulting time series by means of the joint use of a compression and an entropy diffusion method. This approach to complexity makes it possible for us to establish that the time series emerging from the wavelet analysis of the vortex dynamics is a weakly chaotic process driven by a hidden dynamic process. The complexity of the hidden driving process is shown to be located at the border between the stationary and non-stationary state.