Dynamics of a hyperbolic system that applies at the onset of the oscillatory instability

Martel, Carlos and Vega de Prada, José Manuel (1998). Dynamics of a hyperbolic system that applies at the onset of the oscillatory instability. "Nonlinearity", v. 11 (n. 1); pp. 105-142. ISSN 0951-7715. https://doi.org/10.1088/0951-7715/11/1/008.

Description

Title: Dynamics of a hyperbolic system that applies at the onset of the oscillatory instability
Author/s:
  • Martel, Carlos
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: Nonlinearity
Date: January 1998
ISSN: 0951-7715
Volume: 11
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview

Abstract

A real hyperbolic system is considered that applies near the onset of the oscillatory instability in large spatial domains. The validity of that system requires that some intermediate scales (large compared with the basic wavelength of the unstable modes but small compared with the size of the system) remain inhibited; that condition is analysed in some detail. The dynamics associated with the hyperbolic system is fully analysed to conclude that it is very simple if the coefficient of the cross-nonlinearity is such that , while the system exhibits increasing complexity (including period-doubling sequences, quasiperiodic transitions, crises) as the bifurcation parameter grows if ; if then the system behaves subcritically. Our results are seen to compare well, both qualitatively and quantitatively, with the experimentally obtained ones for the oscillatory instability of straight rolls in pure Rayleigh - Bénard convection.

More information

Item ID: 5995
DC Identifier: http://oa.upm.es/5995/
OAI Identifier: oai:oa.upm.es:5995
DOI: 10.1088/0951-7715/11/1/008
Official URL: http://iopscience.iop.org/0951-7715/11/1/008
Deposited by: Memoria de Investigacion 2
Deposited on: 14 Feb 2011 12:02
Last Modified: 20 Apr 2016 14:39
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM