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Hopf bifurcation analysis for a two-neuron network with four delays
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Huang, Chuangxia, Huang, Lihong, Feng, Jianfeng, Nai, Mingyong and He, Yigang (2007) Hopf bifurcation analysis for a two-neuron network with four delays. Chaos, Solitons & Fractals, Volume 34 (Number 3). pp. 795-812. doi:10.1016/j.chaos.2006.03.089 ISSN 0960-0779.
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Official URL: http://dx.doi.org/10.1016/j.chaos.2006.03.089
Abstract
A delay-differential system modelling an artificial neural network with two neurons is investigated. At appropriate parameter values, linear stability and Hopf bifurcation including its direction and stability of the network with four delays are established in this paper. The main tools to obtain our results are the normal form method and the center manifold theory introduced by Hassard. Simulations show that the theoretically predicted values are in excellent agreement with the numerically observed behavior. Our results extend and complement some earlier publications. (C) 2006 Elsevier Ltd. All rights reserved.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Journal or Publication Title: | Chaos, Solitons & Fractals | ||||
Publisher: | Pergamon | ||||
ISSN: | 0960-0779 | ||||
Official Date: | November 2007 | ||||
Dates: |
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Volume: | Volume 34 | ||||
Number: | Number 3 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 795-812 | ||||
DOI: | 10.1016/j.chaos.2006.03.089 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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