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Defect chaos and bursts: Hexagonal rotating convection and the complex Ginzburg-Landau equation
Madruga Sánchez, Santiago and Riecke, Hermann and Pesch, Werner
Defect chaos and bursts: Hexagonal rotating convection and the complex Ginzburg-Landau equation.
"Physical Review Letters", v. 96
We employ numerical computations of the full Navier-Stokes equations to investigate non-Boussinesq convection in a rotating system using water as the working fluid. We identify two regimes. For weak non- Boussinesq effects the Hopf bifurcation from steady to oscillating (whirling) hexagons is supercritical and typical states exhibit defect chaos that is systematically described by the cubic complex Ginzburg-Landau equation. For stronger non-Boussinesq effects the Hopf bifurcation becomes subcritical and the oscil- lations exhibit localized chaotic bursting, which is modeled by a quintic complex Ginzburg-Landau equation.
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