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

ELASKAR, SERGIO; DEL RIO, EZEQUIEL; SCHULZ, WALKIRIA

Symmetry

MDPI

Año: 2022 vol. 14

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.