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中文摘要：
本文讨论了一类三阶惯性神经网络的稳定性和分岔问题．利用灵敏度理论，确定了合适的Hopf分岔参数．基于Routh-Hurwitz判据和分岔理论，给出了系统稳定性、发生Hopf分岔以及产生静态分岔的条件．数值模拟不仅验证了理论分析的正确性，还说明了所设计的单节点时滞反馈控制器不仅能延迟网络分岔的发生，还能改变极限环的振幅．
英文摘要：
The paper deals with the stability and the bifurcation of a class of inertial neural networks. Based on sensitivity theory, we determine the suitable bifurcation parameter. Using Routh-Hurwitz criterion and bifurcation theory, we give some new criteria for stability,Hopf bifurcation and steady state bifurcation. Numerieal simulations are given to validate the theoretieal analysis showing that the delayed feedback controller can control the occurrence of bifurcation effectively and the amplitude of the bifurcated limit cycle as well.
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