Defect chaos and bursts: hexagonal rotating convection and the complex Ginzburg-Landau equation |
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Authors: | Madruga Santiago Riecke Hermann Pesch Werner |
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Affiliation: | Engineering Science and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA. |
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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 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 oscillations exhibit localized chaotic bursting, which is modeled by a quintic complex Ginzburg-Landau equation. |
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