Navegando por Autor "Silva, Jaqueline Garcia"

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    Propriedades de escala em um modelo com comportamento coletivo
    (Universidade Federal de Goiás, 2020-04-06) Silva, Jaqueline Garcia; Abud, Celso Vieira; http://lattes.cnpq.br/5634231159637601; Abud, Celso Vieira; Lobato, Fran Sérgio; Assis, Paulo Eduardo Gonçalves de
    Developed for modeling the synchronization phenomenon, the Kuramoto model consists of a system of N-coupled oscillators with randomly distributed natural frequencies whose dynamics is described by a set of differential equations. Variations in number of oscillators and randomness imposed by distribution of natural frequencies induce changes in the synchronization process. In this work, a scale analysis on the number of oscillators and the dispersion parameter of natural frequencies of Normal, Cauchy-Lorentz and Laplace distributions was performed. It is shown in both cases that the synchronization, measured by the order parameter, obeys specifics scaling functions and, therefore, the number of oscillators and the order parameters are scalar invariants, i.e., they do not change qualitatively the synchronization. The proposed methodology can aid in the analysis of other parameters or models.