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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.

MSC:

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

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