Attractor Bifurcation of Three-Dimensional Double-Diffusive Convection

Details Attractor Bifurcation of Three-Dimensional Double-Diffusive Convection Attractor Bifurcation of Three-Dimensional Double-Diffusive Convection

2006-11-11

arxiv.org/abs/nlin/0611024v1

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2008, VOL 27; NUMB 2, pages 233-252

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

In this article, we present a bifurcation analysis on the double-diffusive convection. Two pattern selections, rectangles and squares, are investigated. It is proved that there are two different types of attractor bifurcations depending on the thermal and salinity Rayleigh numbers for each pattern. The analysis is based on a newly developed attractor bifurcation theory, together with eigen-analysis and the center manifold reductions.

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