Turbulence in Fluid Flows pp 59-72 | Cite as

# Finite-Dimensional Description of Doubly Diffusive Convection

Conference paper

## Abstract

Doubly diffusive convection in small aspect ratio systems exhibits complex temporal dynamics that has been attributed to the Shil’nikov mechanism. These results are reviewed and an asymptotic expansion suggested that leads in a systematic manner from the partial differential equations to a third order system of ordinary differential equations with Shil’nikov dynamics.

## Keywords

Hopf Bifurcation Heteroclinic Orbit Canonical System Homoclinic Bifurcation Heteroclinic Connection
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© Springer-Verlag New York, Inc. 1993