Edge of chaos and genesis of turbulence

Author(s)

Chian, Abraham C-L. ^{[1, 2, 3, 4]} ; Munoz, Pablo R. ^{[1, 2, 4]} ; Rempel, Erico L. ^{[1, 2, 4]}

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

• 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 Opportunities: Scholarships in Brazil - Post-Doctoral