Article ID Journal Published Year Pages File Type
1890815 Chaos, Solitons & Fractals 2006 8 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
On the relation between Rayleigh–Bénard convection and Lorenz system
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