Nonuniform reinjection probability density function in type V intermittency
Autor: | Luis F. Gutiérrez Marcantoni, Sergio Elaskar, Ezequiel del Rio |
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Rok vydání: | 2018 |
Předmět: |
M FUNCTION
Matemáticas Aerospace Engineering Ocean Engineering Probability density function 01 natural sciences 010305 fluids & plasmas law.invention Characteristic relation law Intermittency 0103 physical sciences Electrical and Electronic Engineering M function 010301 acoustics Mathematical physics Physics TYPE V INTERMITTENCY Applied Mathematics Mechanical Engineering Otras Ciencias Naturales y Exactas Matemática Aplicada CHARACTERISTIC RELATION Control and Systems Engineering RPD CIENCIAS NATURALES Y EXACTAS |
Zdroj: | Nonlinear Dynamics. 92:683-697 |
ISSN: | 1573-269X 0924-090X |
DOI: | 10.1007/s11071-018-4083-7 |
Popis: | In this paper, type V intermittency is studied using the M function methodology developed in the last years. This methodology is applied on two different maps to evaluate the reinjection probability density function (RPD), the probability density of laminar lengths and the characteristic relation. We have found that the RPD can be written as an exponential function, where the uniform reinjection is only a singular case. Also, the probability density of laminar lengths can be a nondifferentiable function when the local map has a nondifferentiable point inside the laminar interval. On the other hand, the characteristic relation is not unique, and it depends on the local map. Therefore, the behavior of the reinjection processes and the statistical properties for type V intermittency is wider than the previous studies have described. Finally, it is noted that the M function methodology is a suitable tool to analyze type V intermittency. Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina Fil: Río, Ezequiel del(EXT). Universidad Politécnica de Madrid; España Fil: Gutierrez Marcantoni, Luis Felipe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina |
Databáze: | OpenAIRE |
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