A four-mode Lorenz model for the rotating Rayleigh-Benard system is constructed which reproduces the results of a linear stability analysis of the hydrodynamic equations. An extension of this model predicts that the Kuppers-Lortz instability occurs at a critical Taylor number of T c =80 pi 4 and a critical angle theta c given by tan theta c/4 = square root 5.
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Bhattacharjee et al. (1988) studied this question.
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