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Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider the nonlinear dynamical behavior of a three-dimensional recurrent neural network with time delay.
By choosing the time delay as a bifurcation parameter, we prove that Hopf bifurcation occurs when the delay passes through a sequence of critical values.
Applying the nor- mal form method and center manifold theory, we obtain some local bifurcation results and derive formulas for determining the bifurcation direction and the stability of the bifurcated periodic solution.
Some numerical examples are also presented to verify the theoretical analysis.
American Psychological Association (APA)
Li, Yingguo. 2012. Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993175
Modern Language Association (MLA)
Li, Yingguo. Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993175
American Medical Association (AMA)
Li, Yingguo. Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993175
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993175