Topology Identification of Coupling Map Lattice under Sparsity Condition
Joint Authors
Li, Lixiang
Yu, Jiangni
Yang, Yixian
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Coupling map lattice is an efficient mathematical model for studying complex systems.
This paper studies the topology identification of coupled map lattice (CML) under the sparsity condition.
We convert the identification problem into the problem of solving the underdetermined linear equations.
The l1 norm method is used to solve the underdetermined equations.
The requirement of data characters and sampling times are discussed in detail.
We find that the high entropy and small coupling coefficient data are suitable for the identification.
When the measurement time is more than 2.86 times sparsity, the accuracy of identification can reach an acceptable level.
And when the measurement time reaches 4 times sparsity, we can receive a fairly good accuracy.
American Psychological Association (APA)
Yu, Jiangni& Li, Lixiang& Yang, Yixian. 2015. Topology Identification of Coupling Map Lattice under Sparsity Condition. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073466
Modern Language Association (MLA)
Yu, Jiangni…[et al.]. Topology Identification of Coupling Map Lattice under Sparsity Condition. Mathematical Problems in Engineering No. 2015 (2015), pp.1-6.
https://search.emarefa.net/detail/BIM-1073466
American Medical Association (AMA)
Yu, Jiangni& Li, Lixiang& Yang, Yixian. Topology Identification of Coupling Map Lattice under Sparsity Condition. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-6.
https://search.emarefa.net/detail/BIM-1073466
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073466