Journal
NEUROCOMPUTING
Volume 175, Issue -, Pages 355-370Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2015.10.068
Keywords
Neural network; Hopf bifurcation; Stability; Delays
Categories
Funding
- National Natural Science Foundation of China [61573096, 61272530, 61374011]
- China Postdoctoral Science Foundation [2014M561557]
- 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]
- Shandong Province University Scientific Research Project of China [J15LI12]
- Natural Science Foundation of Shandong Province of China [ZR2010FL016]
- Postdoctoral Science Foundation of Jiangsu Province of China [1402040B]
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A kind of three-layer neural network with time delays is introduced. By analyzing its associated characteristic equation, local stability and the existence of Hopf bifurcation of the system are investigated. By using the normal form method and center manifold theorem, formulas to determine the direction of the Hopf bifurcation and the stability of bifurcating periodic solution are obtained. Numerical simulation results are also given to support our theoretical predictions. (C) 2015 Elsevier B.V. All rights reserved.
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