Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term

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	Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term
	Ma, SQ ; Chang, QS
	2002-10-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	18 期号:4 页码:779-800
摘要	In this paper we consider a semi-dicretized nonlinear Schrodinger (NLS) equation with local integral nonlinearity. It is proved that for each mesh size, there exist attractors for the discretized system. The bounds for the Hausdorff and fractal dimensions of the discrete attractors are obtained, and the various bounds are independent of the mesh sizes. Furthermore, numerical experiments are given and many interesting phenomena are observed such as limit cycles, chaotic attractors and a so-called crisis of the chaotic attractors.
关键词	attractor NLS equation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000179890400014
出版者	SPRINGER-VERLAG BERLIN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17176
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, SQ
作者单位	1.Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ma, SQ,Chang, QS. Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2002,18(4):779-800.
APA	Ma, SQ,&Chang, QS.(2002).Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term.ACTA MATHEMATICA SINICA-ENGLISH SERIES,18(4),779-800.
MLA	Ma, SQ,et al."Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term".ACTA MATHEMATICA SINICA-ENGLISH SERIES 18.4(2002):779-800.