Shadowing orbits of a class of random differential equations

doi:10.1016/j.apnum.2018.10.010

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	Shadowing orbits of a class of random differential equations
	Zhan, Qingyi 1,2
	2019-02-01
发表期刊	APPLIED NUMERICAL MATHEMATICS
ISSN	0168-9274
卷号	136 页码:206-214
摘要	This article focuses on the existence of a true solution near a numerical approximate solution of random differential equations which can generate random dynamical systems. We prove a general finite-time shadowing theorem of random differential equations under some suitable assumptions and offer error bounds for shadowing distance based on some computable quantities. The application of this theorem is shown in the numerical simulations of chaotic orbits of the random Lorenz equations. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.
关键词	Random differential equation Random dynamical system Shadowing Brouwer's fixed point theorem Random Lorenz equations
DOI	10.1016/j.apnum.2018.10.010
语种	英语
资助项目	NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[91130003] ; NNSFC[11771449] ; Science Research Projection of Education Department of Fujian Province[JT180122] ; Natural Science Foundation of Fujian Province[2015J01019]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000452941600011
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31981
专题	中国科学院数学与系统科学研究院
通讯作者	Zhan, Qingyi
作者单位	1.Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou 350002, Fujian, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhan, Qingyi. Shadowing orbits of a class of random differential equations[J]. APPLIED NUMERICAL MATHEMATICS,2019,136:206-214.
APA	Zhan, Qingyi.(2019).Shadowing orbits of a class of random differential equations.APPLIED NUMERICAL MATHEMATICS,136,206-214.
MLA	Zhan, Qingyi."Shadowing orbits of a class of random differential equations".APPLIED NUMERICAL MATHEMATICS 136(2019):206-214.