Shadowing orbits of a class of random differential equations

doi:10.1016/j.apnum.2018.10.010

	Shadowing orbits of a class of random differential equations
	Zhan, Qingyi 1,2
刊名	APPLIED NUMERICAL MATHEMATICS
	2019-02-01
卷号	136 页码:206-214
关键词	Random differential equation Random dynamical system Shadowing Brouwer's fixed point theorem Random Lorenz equations
ISSN号	0168-9274
DOI	10.1016/j.apnum.2018.10.010
英文摘要	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.
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
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000452941600011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31980]
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.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China 2.Fujian Agr & Forestry Univ, Coll Comp & Informat Sci, Fuzhou 350002, Fujian, 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.