Fractal Analysis of Discharge Current Fluctuations
S. Kimiagar, M. Sadegh Movahed, S. Khorram, S. Sobhanian, and M. Reza, Rahimi Tabar
TL;DR
This paper applies multifractal detrended fluctuation analysis to plasma discharge current data, revealing its multifractal and anti-correlated nature, and highlights the role of correlations in its multifractality.
Contribution
The study demonstrates the multifractal properties of plasma discharge current fluctuations using MF-DFA and identifies the influence of correlations on these properties.
Findings
Discharge current fluctuations are multifractal.
The process exhibits weak anti-correlations.
Correlations drive the multifractal behavior.
Abstract
We use the multifractal detrended fluctuation analysis (MF-DFA) to study the electrical discharge current fluctuations in plasma and show that it has multifractal properties and behaves as a weak anti-correlated process. Comparison of the MF-DFA results for the original series with those for the shuffled and surrogate series shows that correlation of the fluctuations is responsible for multifractal nature of the electrical discharge current.
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Taxonomy
TopicsComplex Systems and Time Series Analysis · Chaos control and synchronization · Fractal and DNA sequence analysis