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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Edge of chaos and genesis of turbulence

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Author(s):
Chian, Abraham C-L. [1, 2, 3, 4] ; Munoz, Pablo R. [1, 2, 4] ; Rempel, Erico L. [1, 2, 4]
Total Authors: 3
Affiliation:
[1] Natl Inst Space Res INPE, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[2] WISER, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[3] Observ Paris, CNRS, LESIA, F-92195 Meudon - France
[4] CTA ITA IEFM, Inst Aeronaut Technol ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 4
Document type: Journal article
Source: Physical Review E; v. 88, n. 5 NOV 18 2013.
Web of Science Citations: 5
Abstract

The edge of chaos is analyzed in a spatially extended system, modeled by the regularized long-wave equation, prior to the transition to permanent spatiotemporal chaos. In the presence of coexisting attractors, a chaotic saddle is born at the basin boundary due to a smooth-fractal metamorphosis. As a control parameter is varied, the chaotic transient evolves to well-developed transient turbulence via a cascade of fractal-fractal metamorphoses. The edge state responsible for the edge of chaos and the genesis of turbulence is an unstable traveling wave in the laboratory frame, corresponding to a saddle point lying at the basin boundary in the Fourier space. (AU)

FAPESP's process: 11/10466-1 - Turbulence and coherent structures in astrophysical plasmas
Grantee:Pablo Rubén Muñoz Gutberlet
Support type: Scholarships in Brazil - Post-Doctorate