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CGL Defect Chaos and Bursts in Hexagonal Rotating non-Boussinesq Convection

Santiago Madruga·Hermann Riecke·Werner Pesch
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Abstract

We employ numerical computations of the full Navier-Stokes equations to investigate non-Boussinesq convection in a rotating system using water as a 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 oscillations exhibit localized chaotic bursting, which can be modeled by a quintic complex Ginzburg-Landau equation.

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Santiago Madruga, Hermann Riecke, Werner Pesch. 2005-07-26. CGL Defect Chaos and Bursts in Hexagonal Rotating non-Boussinesq Convection. https://arxiv.org/abs/nlin/0507059

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