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Morphological Analysis for Three-Dimensional Chaotic Delay Neural Networks
Joint Authors
Lu, Yusong
Luo, Ricai
Zou, Yongfu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The study focuses on the chaotic behavior of a three-dimensional Hopfield neural network with time delay.
We find the aspecific coefficient matrix and the initial value condition of the system and use MATLAB software to draw its graph.
The result shows that their shape is very similar to the figure of Roslerʼs chaotic system.
Furthermore, we analyzed the divergence, the eigenvalue of the Jacobian matrix for the equilibrium point, and the Lyapunov exponent of the system.
These properties prove that the system does have chaotic behavior.
This result not only confirms that there is chaos in the neural networks but also that the chaotic characteristics of the system are very similar to those of Roslerʼs chaotic system under certain conditions.
This discovery provides useful information that can be applied to other aspects of chaotic Hopfield neural networks, such as chaotic synchronization and control.
American Psychological Association (APA)
Lu, Yusong& Luo, Ricai& Zou, Yongfu. 2020. Morphological Analysis for Three-Dimensional Chaotic Delay Neural Networks. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188042
Modern Language Association (MLA)
Lu, Yusong…[et al.]. Morphological Analysis for Three-Dimensional Chaotic Delay Neural Networks. Journal of Mathematics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1188042
American Medical Association (AMA)
Lu, Yusong& Luo, Ricai& Zou, Yongfu. Morphological Analysis for Three-Dimensional Chaotic Delay Neural Networks. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188042