Lin, Yiping; Li, Jibin; Zhao, Xiaohua Local stability and bifurcation in a three-unit delayed neural network. (English) Zbl 1037.34067 J. Syst. Sci. Complex. 16, No. 1, 46-52 (2003). The authors study a three-unit network of neural cells with delayed coupling \[ \dot x_i(t)=-x_i(t)+\sum_{j=1}^3 a_{ij}\beta \tanh(x_j(t-\tau)), \quad i=1,2,3. \] They derive a general formula for the bifurcation direction (criticality) of the Hopf bifurcation and an asymptotic estimate on the period of the emanating periodic solution. Reviewer: Jan Sieber (Bristol) MSC: 34K18 Bifurcation theory of functional-differential equations 92B20 Neural networks for/in biological studies, artificial life and related topics Keywords:Hopf bifurcation condition; delayed neural network; bifurcation direction PDFBibTeX XMLCite \textit{Y. Lin} et al., J. Syst. Sci. Complex. 16, No. 1, 46--52 (2003; Zbl 1037.34067)