Analysis of the Type V Intermittency Using the Perron-Frobenius Operator

Author:

Elaskar SergioORCID,del Rio EzequielORCID,Schulz WalkiriaORCID

Abstract

A methodology to study the reinjection process in type V intermittency is introduced. The reinjection probability density function (RPD), and the probability density of the laminar lengths (RPDL) for type V intermittency are calculated. A family of maps with discontinuous and continuous RPD functions is analyzed. Several tests were performed, in which the proposed technique was compared with the classical theory of intermittency, the M function methodology, and numerical data. The analysis exposed that the new technique can accurately capture the numerical data. Therefore, the scheme presented herein is a useful tool to theoretically evaluate the statistical variables for type V intermittency.

Funder

SECyT of Universidad Nacional de Córdoba, Universidad Politécnica de Madrid

Ministerio de Ciencia, Innovación y Universidades of Spain

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference38 articles.

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