Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation
patt-sol
2009-10-31 v2 Pattern Formation and Solitons
Abstract
A study of secondary instabilities in ac-driven electroconvection of a planarly aligned nematic liquid crystal is presented. At low frequencies one has a transition from normal rolls to a zig-zag pattern and at high frequencies a direct transition from normal to abnormal rolls. The crossover defines a codimension-2 point. This point is also the origin of a line of homoclinic bifurcations, which enable the transition from zig-zags to abnormal rolls at lower frequencies.
Keywords
Cite
@article{arxiv.patt-sol/9806004,
title = {Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation},
author = {S. Rudroff and H. Zhao and L. Kramer and I. Rehberg},
journal= {arXiv preprint arXiv:patt-sol/9806004},
year = {2009}
}
Comments
4 pages, 4 figures, submitted to PRL