paper

Complex dynamics in double-diffusive convection

arXiv:physics/0411083 · doi:10.1007/s00162-004-0129-1

Abstract

The dynamics of a small Prandtl number binary mixture in a laterally heated cavity is studied numerically. By combining temporal integration, steady state solving and linear stability analysis of the full PDE equations, we have been able to locate and characterize a codimension-three degenerate Takens-Bogdanov point whose unfolding describes the dynamics of the system for a certain range of Rayleigh numbers and separation ratios near S=-1.

8 pages, 5 figures

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