Abstract
The gravity- and surface-tension-driven thermoconvective instability of a fluid layer contained in a no-slip circular container of aspect ratio $2.5$ is investigated. Linear and nonlinear analyses are developed. From amplitude equations the bifurcation diagram of the system is deduced, and the different stable convective patterns are studied. In particular, it is shown that a stable heteroclinic cycle due to a 1-2 spatial resonance is predicted. This cycle is also shown to be in agreement with recent experimental observations of a dynamic mode switching.
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