dorsal/arxiv
View SchemaSecondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation
| Authors | S. Rudroff, H. Zhao, L. Kramer, I. Rehberg |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9806004 |
| URL | https://arxiv.org/abs/patt-sol/9806004 |
| DOI | 10.1103/PhysRevLett.81.4144 |
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.
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"abstract": "A study of secondary instabilities in ac-driven electroconvection of a\nplanarly aligned nematic liquid crystal is presented. At low frequencies one\nhas a transition from normal rolls to a zig-zag pattern and at high frequencies\na direct transition from normal to abnormal rolls. The crossover defines a\ncodimension-2 point. This point is also the origin of a line of homoclinic\nbifurcations, which enable the transition from zig-zags to abnormal rolls at\nlower frequencies.",
"arxiv_id": "patt-sol/9806004",
"authors": [
"S. Rudroff",
"H. Zhao",
"L. Kramer",
"I. Rehberg"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.81.4144",
"title": "Secondary instabilities form a codimension-2 point accompanied by a homoclinic bifurcation",
"url": "https://arxiv.org/abs/patt-sol/9806004"
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