Chaotic intermittency with non-differentiable M(x) function

Sergio Elaskar; Ezequiel Del Río; Mauro Grioni

doi:10.17533/udea.redin.20230110

Autores/as

Sergio Elaskar Universidad de Córdoba https://orcid.org/0000-0002-7250-0392
Ezequiel Del Río Universidad Politécnica de Madrid https://orcid.org/0000-0003-3384-9521
Mauro Grioni Consejo Nacional de Investigaciones Científicas y Técnicas CONICET https://orcid.org/0000-0002-0269-9383

DOI:

https://doi.org/10.17533/udea.redin.20230110

Palabras clave:

intermitencia, reinyección, función de densidad de probabilidad de reinyección discontinua

Resumen

En este trabajo se estudian mapas unidimensionales que muestran intermitencia caótica con funciones de densidad de probabilidad de reinyección discontinuas. Para estos mapas, el mecanismo de reinyección posee dos procesos diferentes. Para analizar el mecanismo de reinyección completo y determinar la función de densidad de probabilidad de reinyección discontinua, se aplica la metodología de la función M. Dicha función es continua y no derivable. Se encuentran ecuaciones teóricas para la función M(x) y para la función de densidad de probabilidad de reinyección. Finalmente, los resultados teóricos se comparan con datos numéricos encontrándose una alta precisión entre ambos.

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Biografía del autor/a

Sergio Elaskar, Universidad de Córdoba

Profesor, Departamento de Aeronáutica

Ezequiel Del Río, Universidad Politécnica de Madrid

Profesor del Departamento de Física Aplicada, ETSIAE.

Mauro Grioni, Consejo Nacional de Investigaciones Científicas y Técnicas CONICET

Consejo Nacional de Investigaciones Científicas y Técnicas de Argentina

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