title: Edge of chaos and genesis of turbulence.
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.
authors: National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil and Observatoire de Paris, LESIA, CNRS, 92195 Meudon, France and Institute of Aeronautical Technology (ITA), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil.
authors: Abraham C-L
authors: AC
authors: Chian
authors: National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil and Institute of Aeronautical Technology (ITA), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil.
authors: Pablo R
authors: PR
authors: Muñoz
authors: National Institute for Space Research (INPE) and World Institute for Space Environment Research (WISER), P.O. Box 515, São José dos Campos-SP 12227-010, Brazil and Institute of Aeronautical Technology (ITA), CTA/ITA/IEFM, São José dos Campos-SP 12228-900, Brazil.
authors: Erico L
authors: EL
authors: Rempel