Fractal Dynamics of Children with Learning Disorders in Mexico
DOI:
https://doi.org/10.46842/ipn.cien.v23n1a04Keywords:
reading, EEG, fluctuations, self-affinity, dynamic scaling, power laws, correlations, rough interfacesAbstract
This work characterizes the dynamics of time series fluctuations of children with learning disorders in Mexico, specifically with reading problems, by applying fractal geometry and roughness interface growth theory. From the EEG of children diagnosed were built time series of standard deviation v(t, τ) for each of the 19 channels distributed in different regions of the cerebral cortex. The self-affinity of the time series v(t, τ) (treated as interfaces in motion) is characterized by the scaling behavior of the structure functions by one hand σ (δt)ζ, with ζ as the local exponent, and the other hand σ (τ)β, with β as the fluctuation growth exponent. It was found that the behavior of children with reading problems is similar to the Family-Vicsek scaling dynamic for a kinetic roughening of moving interface. Therefore it would possible to characterize and model the studied time series v(t, τ) by using the tools from the theory of kinetic roughening.
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