On the relation between Rayleigh-Bénard convection and Lorenz system
On the relation between Rayleigh-Bénard convection and Lorenz system
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.
571-578
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W. G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
2006
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W. G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min and Price, W. G.
(2006)
On the relation between Rayleigh-Bénard convection and Lorenz system.
Chaos, Solitons & Fractals, 28 (2), .
(doi:10.1016/j.chaos.2005.08.010).
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.
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Published date: 2006
Organisations:
Fluid Structure Interactions Group
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Local EPrints ID: 43331
URI: http://eprints.soton.ac.uk/id/eprint/43331
ISSN: 0960-0779
PURE UUID: d3f3666c-4d9c-494a-bed8-a1291cf505be
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Date deposited: 23 Jan 2007
Last modified: 15 Mar 2024 08:54
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Zhi-Min Chen
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