The complicated trajectory behaviors in the Lorenz equation

doi:10.1016/S0960-0779(03)00243-1

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	The complicated trajectory behaviors in the Lorenz equation
	Zhou, TS ; Liao, HH ; Zheng, ZH; Tang, Y
	2004-03-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	19 期号:4 页码:863-873
摘要	In this paper, trajectories of the Lorenz equation are analyzed in details. In particular, it is rigorously proved that all nontrivial trajectories travel through two special Poincare projections with infinitely many times. The result would describe the structure of the Lorenz attractor from a lateral aspect. (C) 2003 Elsevier Ltd. All rights reserved.
DOI	10.1016/S0960-0779(03)00243-1
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000185578200019
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19376
专题	应用数学研究所
通讯作者	Zhou, TS
作者单位	1.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhou, TS,Liao, HH,Zheng, ZH,et al. The complicated trajectory behaviors in the Lorenz equation[J]. CHAOS SOLITONS & FRACTALS,2004,19(4):863-873.
APA	Zhou, TS,Liao, HH,Zheng, ZH,&Tang, Y.(2004).The complicated trajectory behaviors in the Lorenz equation.CHAOS SOLITONS & FRACTALS,19(4),863-873.
MLA	Zhou, TS,et al."The complicated trajectory behaviors in the Lorenz equation".CHAOS SOLITONS & FRACTALS 19.4(2004):863-873.