Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron
Joint Authors
Mohammadinejad, Haji Mohammad
Moslehi, Mohammad Hadi
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-12
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider a system of delay differential equations which represents the general model of a Hopfield neural networks type.
We construct some new sufficient conditions for local asymptotic stability about the trivial equilibrium based on the connection weights and delays of the neural system.
We also investigate the occurrence of an Andronov-Hopf bifurcation about the trivial equilibrium.
Finally, the simulating results demonstrate the validity and feasibility of our theoretical results.
American Psychological Association (APA)
Mohammadinejad, Haji Mohammad& Moslehi, Mohammad Hadi. 2014. Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-486410
Modern Language Association (MLA)
Mohammadinejad, Haji Mohammad& Moslehi, Mohammad Hadi. Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-486410
American Medical Association (AMA)
Mohammadinejad, Haji Mohammad& Moslehi, Mohammad Hadi. Stability and Hopf-Bifurcating Periodic Solution for Delayed Hopfield Neural Networks with n Neuron. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-486410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486410