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Shadowing orbits of a class of random differential equations
Zhan, Qingyi1,2
2019-02-01
Source PublicationAPPLIED NUMERICAL MATHEMATICS
ISSN0168-9274
Volume136Pages:206-214
AbstractThis 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.
KeywordRandom differential equation Random dynamical system Shadowing Brouwer's fixed point theorem Random Lorenz equations
DOI10.1016/j.apnum.2018.10.010
Language英语
Funding ProjectNNSFC[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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000452941600011
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31981
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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