On the relation between Rayleigh-Bénard convection and Lorenz system. (English) Zbl 1084.76026

Summary: Based on an extension of the Lorenz truncation scheme, a chaotic mathematical model is developed to provide a profile of the chaotic attractor associated with the Rayleigh-Bénard convection problem in a plane fluid motion. The attractor of the Lorenz system is a cross-section of the attractor of the proposed model, in which solutions always exist in circles mirroring those appearing in the convection problem.


76E06 Convection in hydrodynamic stability
37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
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