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Zbl 1178.34105
Zhang, Chunrui; Zheng, Baodong; Wang, Liancheng
Multiple Hopf bifurcations of symmetric BAM neural network model with delay.
(English)
[J] Appl. Math. Lett. 22, No. 4, 616-622 (2009). ISSN 0893-9659

The paper investigates a symmetric BAM neural network model with delay. By analyzing the corresponding characteristic equations, the authors first consider the existence of Hopf bifurcations. The existence of multiple periodic solutions is established using a symmetric Hopf bifurcation result developed by {\it J. Wu} [Symmetric functional-differential equations and neural networks with memory", Trans. Am. Math. Soc. 350, No.~12, 4799--4838 (1998; Zbl 0905.34034)].
[Qintao Gan (Shijiazhuang)]
MSC 2000:
*34K60 Applications of functional-differential equations
34K18 Bifurcation theory of functional differential equations
34K13 Periodic solutions of functional differential equations
92B20 General theory of neural networks

Keywords: symmetry; BAM neural network; delay; Hopf bifurcation; periodic solution

Citations: Zbl 0905.34034

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