Memorias de investigación
Artículos en revistas:
Theory of intermittency applied to classical pathological cases
Año:2013
Áreas de investigación
  • Fisica cs -- sistemas complejos
Datos
Descripción
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.
Internacional
Si
JCR del ISI
Si
Título de la revista
Chaos
ISSN
1054-1500
Factor de impacto JCR
2,188
Información de impacto
Volumen
23
DOI
10.1063/1.4813857
Número de revista
3
Desde la página
033112-1
Hasta la página
033112-10
Mes
SIN MES
Ranking
0
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Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Grupo de Investigación en Fusión Inercial y Física de Plasmas
  • Departamento: Física Aplicada a la Ingeniería Aeronáutica