Convective and absolute Eckhaus instability leading to modulated waves in a finite box
Pattern Formation and Solitons
2009-11-07 v2
Abstract
We report experimental study of the secondary modulational instability of a one-dimensional non-linear traveling wave in a long bounded channel. Two qualitatively different instability regimes involving fronts of spatio-temporal defects are linked to the convective and absolute nature of the instability. Both transitions appear to be subcritical. The spatio-temporal defects control the global mode structure.
Keywords
Cite
@article{arxiv.nlin/0208015,
title = {Convective and absolute Eckhaus instability leading to modulated waves in a finite box},
author = {Nicolas Garnier and Arnaud Chiffaudel and Francois Daviaud},
journal= {arXiv preprint arXiv:nlin/0208015},
year = {2009}
}
Comments
5 pages, 7 figures (ReVTeX 4 and amsmath.sty), final version