Edge of Chaos and Genesis of Turbulence
Fluid Dynamics
2015-06-15 v2
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 travelling wave in the laboratory frame, corresponding to a saddle point lying at the basin boundary in the Fourier space.
Keywords
Cite
@article{arxiv.1303.1797,
title = {Edge of Chaos and Genesis of Turbulence},
author = {Abraham C. -L. Chian and Pablo R. Muñoz and Erico Rempel},
journal= {arXiv preprint arXiv:1303.1797},
year = {2015}
}