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Defect Chaos and Bursts: Hexagonal Rotating Convection and the Complex Ginzburg-Landau Equation

Santiago Madruga, Hermann Riecke, Werner Pesch
2006 Physical Review Letters  

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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
more » ... cal and the oscillations exhibit localized chaotic bursting, which is modeled by a quintic complex Ginzburg-Landau equation.
doi:10.1103/physrevlett.96.074501 pmid:16606097 fatcat:mxrh72eef5df3alimm463tj77u
Citation

Santiago Madruga, Hermann Riecke, Werner Pesch. "Defect Chaos and Bursts: Hexagonal Rotating Convection and the Complex Ginzburg-Landau Equation." Physical Review Letters 96.7 (2006)