Multifractal fluctuations in zebrafish (Danio rerio) polarization time series.
Eur Phys J E Soft Matter
; 47(5): 29, 2024 May 05.
Article
em En
| MEDLINE
| ID: mdl-38704810
ABSTRACT
In this work, we study the polarization time series obtained from experimental observation of a group of zebrafish (Danio rerio) confined in a circular tank. The complex dynamics of the individual trajectory evolution lead to the appearance of multiple characteristic scales. Employing the Multifractal Detrended Fluctuation Analysis (MF-DFA), we found distinct behaviors according to the parameters used. The polarization time series are multifractal at low fish densities and their average scales with ρ - 1 / 4 . On the other hand, they tend to be monofractal, and their average scales with ρ - 1 / 2 for high fish densities. These two regimes overlap at critical density ρ c , suggesting the existence of a phase transition separating them. We also observed that for low densities, the polarization velocity shows a non-Gaussian behavior with heavy tails associated with long-range correlation and becomes Gaussian for high densities, presenting an uncorrelated regime.
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MEDLINE
Assunto principal:
Peixe-Zebra
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Fractais
Idioma:
En
Ano de publicação:
2024
Tipo de documento:
Article