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Multiple Hopf bifurcations of symmetric BAM neural network model with delay. (English) Zbl 1178.34105
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)].

34K60Qualitative investigation and simulation of models
34K18Bifurcation theory of functional differential equations
34K13Periodic solutions of functional differential equations
92B20General theory of neural networks (mathematical biology)
Full Text: DOI
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