Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation

Krause, Gustavo and Elaskar, Sergio and Río, Ezequiel del (2014). Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation. "Nonlinear Dynamics", v. 77 (n. 3); pp. 455-466. ISSN 0924-090X. https://doi.org/10.1007/s11071-014-1309-1.

Description

Title: Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation
Author/s:
  • Krause, Gustavo
  • Elaskar, Sergio
  • Río, Ezequiel del
Item Type: Article
Título de Revista/Publicación: Nonlinear Dynamics
Date: February 2014
ISSN: 0924-090X
Volume: 77
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In previous papers, the type-I intermittent phenomenon with continuous reinjection probability density (RPD) has been extensively studied. However, in this paper type-I intermittency considering discontinuous RPD function in one-dimensional maps is analyzed. To carry out the present study the analytic approximation presented by del Río and Elaskar (Int. J. Bifurc. Chaos 20:1185-1191, 2010) and Elaskar et al. (Physica A. 390:2759-2768, 2011) is extended to consider discontinuous RPD functions. The results of this analysis show that the characteristic relation only depends on the position of the lower bound of reinjection (LBR), therefore for the LBR below the tangent point the relation {Mathematical expression}, where {Mathematical expression} is the control parameter, remains robust regardless the form of the RPD, although the average of the laminar phases {Mathematical expression} can change. Finally, the study of discontinuous RPD for type-I intermittency which occurs in a three-wave truncation model for the derivative nonlinear Schrodinger equation is presented. In all tests the theoretical results properly verify the numerical data

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainFIS2010-20054UnspecifiedUnspecifiedUnspecified

More information

Item ID: 35415
DC Identifier: http://oa.upm.es/35415/
OAI Identifier: oai:oa.upm.es:35415
DOI: 10.1007/s11071-014-1309-1
Official URL: http://link.springer.com/article/10.1007%2Fs11071-014-1309-1
Deposited by: Memoria Investigacion
Deposited on: 22 Feb 2016 08:11
Last Modified: 08 May 2019 09:18
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