On the relation between Rayleigh-Benard convection and Lorenz system

被引：31
作者：
Chen, ZM [1 ]
Price, WG
机构：
[1] Univ Southampton, Sch Engn Sci Ship Sci, Southampton SO17 1BJ, Hants, England
[2] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2005.08.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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-Benard 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. (c) 2005 Elsevier Ltd. All rights reserved.
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收藏
页码：571 / 578
页数：8
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