| 一类具有Leakage时滞的惯性Cohen-Grossberg神经网络的全局指数稳定性和Hopf分支 |
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| 引用本文： | 田晓红,徐瑞,王志丽.一类具有Leakage时滞的惯性Cohen-Grossberg神经网络的全局指数稳定性和Hopf分支[J].高校应用数学学报(A辑),2016(4):428-440. |
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| 作者姓名： | 田晓红 徐瑞 王志丽 |
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| 作者单位： | 军械工程学院应用数学研究所,河北石家庄,050003 |
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| 基金项目： | 国家自然科学基金(11371368;61305076)，河北省自然科学基金(A2013506012 |
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| 摘 要： | 研究一类具有Leakage时滞的惯性Cohen-Grossberg神经网络模型.通过构造适当的Lyapunov泛函得到了平衡点全局指数稳定的充分条件.通过分析特征方程,讨论了系统平衡点的局部稳定性,得出了系统Hopf分支存在的充分条件.最后对所得理论结果进行了数值模拟.
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| 关 键 词： | 惯性Cohen-Grossberg神经网络模型 Leakage时滞 Hopf分支 全局指数稳定性 |
Global exponential stability and Hopf bifurcation of inertial Cohen-Grossberg neural networks with time delays in leakage terms |
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| Abstract: | In this paper, a class of inertial Cohen-Grossberg neural networks with time delays in leakage terms is investigated. By constructing the appropriate Lyapunov functional, su?cient condi-tions are obtained for the global exponential stability of the equilibrium. By analyzing the correspond-ing characteristic equation, the local stability of the equilibrium and the existence of Hopf bifurcation are established. Numerical simulations are carried out to illustrate the main results. |
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| Keywords: | inertial Cohen-Grossberg neural networks leakage delays Hopf bifurcation global exponential stability |
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