# Defect Chaos of Oscillating Hexagons in Rotating Convection

## 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 band center these equations reduce to the usual CGLE and the system exhibits defect chaos. Away from the band center a transition to a frozen vortex state is found. (c) 2000 The American Physical Society.

- Authors:

- Publication Date:

- OSTI Identifier:
- 20216603

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 21; Other Information: PBD: 22 May 2000; Journal ID: ISSN 0031-9007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONVECTIVE INSTABILITIES; SURFACE TENSION; GINZBURG-LANDAU THEORY; CHIRAL SYMMETRY; SYMMETRY BREAKING; BIFURCATION; OSCILLATIONS; THEORETICAL DATA

### Citation Formats

```
Echebarria, Blas, and Riecke, Hermann.
```*Defect Chaos of Oscillating Hexagons in Rotating Convection*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevLett.84.4838.

```
Echebarria, Blas, & Riecke, Hermann.
```*Defect Chaos of Oscillating Hexagons in Rotating Convection*. United States. doi:10.1103/PhysRevLett.84.4838.

```
Echebarria, Blas, and Riecke, Hermann. Mon .
"Defect Chaos of Oscillating Hexagons in Rotating Convection". United States. doi:10.1103/PhysRevLett.84.4838.
```

```
@article{osti_20216603,
```

title = {Defect Chaos of Oscillating Hexagons in Rotating Convection},

author = {Echebarria, Blas and Riecke, Hermann},

abstractNote = {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 band center these equations reduce to the usual CGLE and the system exhibits defect chaos. Away from the band center a transition to a frozen vortex state is found. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevLett.84.4838},

journal = {Physical Review Letters},

issn = {0031-9007},

number = 21,

volume = 84,

place = {United States},

year = {2000},

month = {5}

}

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