Large deviation spectra of chaotic time series from Bray-Liebhafsky reaction

Abstract

We applied multifractal analysis on time series obtained by deterministic simulation of the Bray-Liebhafsky oscillatory reaction. Large deviation spectrum was used to represent multifractal properties of the attractor. We obtained spectrums with two peaks, one in region of low and the other in region of high values of Holder exponent. Their intensity depends on flow rate. The method developed on the results from numerical simulations is tested on the experimental record from the same reaction system and multifractality of the time series is confirmed.