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Data-Based Reconstruction of Chaotic Systems by Stochastic Iterative Greedy Algorithm
Joint Authors
Xiao, Yuzhu
Dong, Guoli
Song, Xueli
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
It is challenging to reconstruct a nonlinear dynamical system when sufficient observations are not available.
Recent study shows this problem can be solved by paradigm of compressive sensing.
In this paper, we study the reconstruction of chaotic systems based on the stochastic gradient matching pursuit (StoGradMP) method.
Comparing with the previous method based on convex optimization, the study results show that the StoGradMP method performs much better when the numerical sampling period is small.
So the present study enables potential application of the reconstruction method using limited observations in some special situations where limited observations can be acquired in limited time.
American Psychological Association (APA)
Xiao, Yuzhu& Dong, Guoli& Song, Xueli. 2020. Data-Based Reconstruction of Chaotic Systems by Stochastic Iterative Greedy Algorithm. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1197202
Modern Language Association (MLA)
Xiao, Yuzhu…[et al.]. Data-Based Reconstruction of Chaotic Systems by Stochastic Iterative Greedy Algorithm. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1197202
American Medical Association (AMA)
Xiao, Yuzhu& Dong, Guoli& Song, Xueli. Data-Based Reconstruction of Chaotic Systems by Stochastic Iterative Greedy Algorithm. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1197202
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197202