dorsal/arxiv
View SchemaDefect Chaos of Oscillating Hexagons in Rotating Convection
| Authors | Blas Echebarria, Hermann Riecke |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9912002 |
| URL | https://arxiv.org/abs/patt-sol/9912002 |
| DOI | 10.1103/PhysRevLett.84.4838 |
Abstract
Using coupled Ginzburg-Landau equations, the dynamics of hexagonal patterns with broken chiral symmetry are investigated, as they appear in rotating non-Boussinesq or surface-tension-driven convection. We find that close to the secondary Hopf bifurcation to oscillating hexagons the dynamics are well described by a single complex Ginzburg-Landau equation (CGLE) coupled to the phases of the hexagonal pattern. At the bandcenter these equations reduce to the usual CGLE and the system exhibits defect chaos. Away from the bandcenter a transition to a frozen vortex state is found.
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"abstract": "Using coupled Ginzburg-Landau equations, the dynamics of hexagonal patterns\nwith broken chiral symmetry are investigated, as they appear in rotating\nnon-Boussinesq or surface-tension-driven convection. We find that close to the\nsecondary Hopf bifurcation to oscillating hexagons the dynamics are well\ndescribed by a single complex Ginzburg-Landau equation (CGLE) coupled to the\nphases of the hexagonal pattern. At the bandcenter these equations reduce to\nthe usual CGLE and the system exhibits defect chaos. Away from the bandcenter a\ntransition to a frozen vortex state is found.",
"arxiv_id": "patt-sol/9912002",
"authors": [
"Blas Echebarria",
"Hermann Riecke"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevLett.84.4838",
"title": "Defect Chaos of Oscillating Hexagons in Rotating Convection",
"url": "https://arxiv.org/abs/patt-sol/9912002"
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