Theory of intermittency applied to classical pathological cases

Rio Fernandez, Ezequiel del and Elaskar, Sergio and Makarov, Valeri A. (2013). Theory of intermittency applied to classical pathological cases. "Chaos", v. 23 (n. 3); pp.. ISSN 1054-1500. https://doi.org/10.1063/1.4813857.

Description

Title: Theory of intermittency applied to classical pathological cases
Author/s:
  • Rio Fernandez, Ezequiel del
  • Elaskar, Sergio
  • Makarov, Valeri A.
Item Type: Article
Título de Revista/Publicación: Chaos
Date: 2013
ISSN: 1054-1500
Volume: 23
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The classical theory of intermittency developed for return maps assumes uniform density of points reinjected from the chaotic to laminar region. Though it works fine in some model systems, there exist a number of so-called pathological cases characterized by a significant deviation of main characteristics from the values predicted on the basis of the uniform distribution. Recently, we reported on how the reinjection probability density (RPD) can be generalized. Here, we extend this methodology and apply it to different dynamical systems exhibiting anomalous type-II and type-III intermittencies. Estimation of the universal RPD is based on fitting a linear function to experimental data and requires no a priori knowledge on the dynamical model behind. We provide special fitting procedure that enables robust estimation of the RPD from relatively short data sets (dozens of points). Thus, the method is applicable for a wide variety of data sets including numerical simulations and real-life experiments. Estimated RPD enables analytic evaluation of the length of the laminar phase of intermittent behaviors. We show that the method copes well with dynamical systems exhibiting significantly different statistics reported in the literature. We also derive and classify characteristic relations between the mean laminar length and main controlling parameter in perfect agreement with data provided by numerical simulations

More information

Item ID: 29162
DC Identifier: http://oa.upm.es/29162/
OAI Identifier: oai:oa.upm.es:29162
DOI: 10.1063/1.4813857
Deposited by: Memoria Investigacion
Deposited on: 10 Oct 2014 17:44
Last Modified: 25 May 2015 14:59
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