A Strategy for the Obtention of the RPD And Probability Density of The Laminar Lengths in 2 Dimensional Systems

Authors

  • Juan Colman Universidad Nacional de Córdoba, FCEFyN, Departamento de Ing. Aeroespacial & Instituto de Estudios Avanzados en Ingeniería y Tecnología, CONICET-UNC. Córdoba, Argentina.
  • Sergio A. Elaskar Universidad Nacional de Córdoba, FCEFyN, Departamento de Ing. Aeroespacial & Instituto de Estudios Avanzados en Ingeniería y Tecnología, CONICET-UNC. Córdoba, Argentina.
  • Marcelo J. Frías Universidad Nacional de Córdoba, FCEFyN, Departamento de Ing. Aeroespacial. Córdoba, Argentina.

DOI:

https://doi.org/10.70567/mc.v42.ocsid8405

Abstract

Chaotic intermittency is a phenomenon observed in various branches of science, including engineering, physics, chemistry, economics, biology, and neuroscience. In fluid mechanics, particularly in turbulent flow, intermittency is a crucial characteristic. Recently, a new theory of chaotic intermittency has emerged, providing a better understanding of the phenomenon, and has been applied to one-dimensional maps. This work progresses with an effort to extend the new theory to two-dimensional maps. In this context, a two-dimensional return map exhibiting type-I intermittency is analyzed, particularly in its 10th and 14th iterations. The methodologies utilized to address intermittency with a significant number of fixed points are presented. The approach to deriving the characteristic functions that describe intermittency, including the reinjection probability density (RPD) function and the probability density of laminar lengths, is detailed. Additionally, numerical results are compared to those obtained from one-dimensional maps.

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Published

2025-11-30

Issue

Vol. 42 No. 3 (2025): Computational Fluid Dynamics

Section

Conference Papers in MECOM 2025

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