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| Recently, the dynamical properties of the delayed fractional neural networks have been extensively concerned. Nevertheless, the study on the bifurcation of the delayed fractional neural networks is less. Firstly, an integer-order Cohen-Grossberg network is extended to the fractional case in this paper. Secondly, by using the sum of delays as the bifurcation parameter, the problem of stability and bifurcation for such delayed network is discussed based on characteristic equation, some sufficient conditions for describing the condition of emergence for Hopf bifurcation is derived. It indicated that time delay can effectively enhance the stability of such fractional networks. Finally, a numerical example are exploited to verify the efficiency of the theoretical analysis. |
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| Keywords:Stability, Hopf bifurcation, time delays, fractional Cohen-Grossberg networks. |
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