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Multifractal analyses of row sum signals of elementary cellular automata

dc.contributor.authorMurguía, José
dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.editorElsevier
dc.date.accessioned2018-03-21T23:42:35Z
dc.date.available2018-03-21T23:42:35Z
dc.date.issued2012
dc.identifier.citationJ.S. Murguía, H.C. Rosu, Multifractal analyses of row sum signals of elementary cellular automata, Physica A: Statistical Mechanics and its Applications, Volume 391, Issue 13, 2012, Pages 3638-3649, ISSN 0378-4371, http://dx.doi.org/10.1016/j.physa.2012.02.021.
dc.identifier.urihttp://hdl.handle.net/11627/3518
dc.description.abstract"We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifrac-tal time series of three different binomial parameters and find that the WTMM method indicates an enhanced difference between the fractal components than the known theoretical result. Next, we make use of the same methods for the time series of the row sum signals of the two comple-mentary ECA pairs of rules (90,165) and (150,105) for ten initial conditions going from a single 1 in the central position up to a set of ten 1’s covering the ten central positions in the first row. Since the members of the pairs are actually similar from the statistical point of view, we can check which method is the most stable numerically by recording the differences provided by the methods between the two members of the pairs for various important quantities of the scaling analyses, such as the multifractal support, the most frequent H¨older exponent, and the Hurst exponent and considering as the better one the method that provides the minimum differences. According to this criterion, our results show that the MFDFA performs better than WT-MFDFA and WTMM in the case of the multifractal support, while for the other two scaling parameters the WT-MFDFA is the best. The employed set of initial conditions does not generate any specific trend in the values of the multifractal parameters."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectElementary cellular automata
dc.subjectComplementary rules
dc.subjectExtended initial conditions
dc.subjectScaling methods
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
dc.titleMultifractal analyses of row sum signals of elementary cellular automata
dc.typearticle
dc.identifier.doihttps://doi.org/10.1016/j.physa.2012.02.021
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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