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. 2014 Sep 24;8:176. doi: 10.3389/fnsys.2014.00176

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Copyright © 2014 Botcharova, Farmer and Berthouze.

This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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Average DFA exponents of rate of change of phase difference between pairs of time series generated by 8 × 8 sub-lattices of the 96 × 96 Ising model lattice. The temperature parameter, T, is varied on the x axis. The average of the valid DFA exponents is shown in pink, and the error bars are a single standard deviation from the mean. The proportion of valid exponents, as calculated by ML-DFA, is denoted by the vertical bars. The theoretical critical parameter T_c is indicated by a red asterisk. A horizontal dashed line at DFA exponent 0.5 is plotted to guide the eye. Validity bars that are referred to in the text are highlighted in magenta.