Work

Some characteristics of the M function methodology to describe the reinjection process in chaotic intermittency

Year: 2018

Type: article

Abstract: The M function methodology allows calculating the statistical properties of intermittency in a broad class of one-dimensional maps. It has shown to be very accurate in type I, II, III and V intermittencies; and it also includes the uniform reinjection as a particular case. This paper studies some properties of theMfunction methodology. We establish the conditions that a reinjection probability density function must verify to obtain and we describe new pathological cases where the reinjection is not uniform, but the characteristic relation is the same that for uniform reinjection.

Source: Open Access Journal of Mathematical and Theoretical Physics

DOI: 10.15406/oajmtp.2018.01.00029

Authors: Sergio Elaskar, Ezequiel del Río, Luis F Gutiérrez Marcantoni

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Córdoba, Universidad Politécnica de Madrid

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Universidad Nacional de Córdoba, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Politécnica de Madrid

OpenAlex ID: W2906036062