Artículo
Calculation of the statistical properties in intermittency using the natural invariant density
Fecha de publicación:
06/2021
Editorial:
Multidisciplinary Digital Publishing Institute
Revista:
Symmetry
e-ISSN:
2073-8994
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x = 0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.
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Articulos(IDIT)
Articulos de INSTITUTO DE ESTUDIOS AVANZADOS EN INGENIERIA Y TECNOLOGIA
Articulos de INSTITUTO DE ESTUDIOS AVANZADOS EN INGENIERIA Y TECNOLOGIA
Citación
Elaskar, Sergio Amado; del Río, Ezequiel; Lorenzon, Denis; Calculation of the statistical properties in intermittency using the natural invariant density; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 6; 6-2021; 1-18
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