Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2005-07-26
Nonlinear Sciences
Pattern Formation and Solitons
Submitted to Physical Review Letters
Scientific paper
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.
Madruga Santiago
Pesch Werner
Riecke Hermann
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