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Physica A: Statistical Mechanics and its Applications
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publication venue for: Multifractal analyses of row sum signals of elementary cellular automata
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Generically Dependent Continuant
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RDF description of Multifractal analyses of row sum signals of elementary cellular automata - http://orbis.uaslp.mx/vivo/individual/scopus3180
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date: 2026-08-26T10:44:42
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Multifractal analyses of row sum signals of elementary cellular automata
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date time value: article date 3181
abstract: We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifractal 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 complementary 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%27s 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 Hlder 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. © 2012 Elsevier B.V. All rights reserved.
page end: 3649
volume: 391
related by: authorship_18508
type: Article
type: Information Content Entity
page start: 3638
freetext keyword: Complementary rules; Elementary cellular automata; Extended initial conditions; Scaling methods Complementary rules; Hurst exponents; Initial conditions; Multi fractals; Multifractal analysis; Multifractal parameters; Scaling analysis; Scaling methods; Scaling parameter; Sum signals; Theoretical result; Cellular automata; Time series; Fractals
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estado: published
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e iscopus: 2-s2.0-84859156695
crisid: 3181
type: Document
most specific type: Document
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issue: 13
related by: authorship_18509
origen: scopus
doi: 10.1016/j.physa.2012.02.021
abstract: We first apply the WT-MFDFA, MFDFA, and WTMM multifractal methods to binomial multifractal 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 complementary 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 Hlder 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. © 2012 Elsevier B.V. All rights reserved.
type: Generically Dependent Continuant
has publication venue: Physica A: Statistical Mechanics and its Applications