| 具有leakage时滞与传输时滞的神经网络的分支 |
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| 引用本文： | 李哲,徐瑞. 具有leakage时滞与传输时滞的神经网络的分支[J]. 军械工程学院学报, 2014, 0(2): 71-74 |
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| 作者姓名： | 李哲 徐瑞 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金项目（10671209） |
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| 摘 要： | 研究一类具有leakage时滞与传输时滞的两神经元神经网络的分支,分别以leakage时滞和传输时滞为分支参数,通过对模型对应的特征方程进行分析,得到出现Hopf分支的临界性条件,并通过数值例子验证该理论结果.
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| 关 键 词： | 神经网络 leakage时滞 分支 |
Bifurcation of a Two-Neuron Network with Time Delay in the Leakage Terms |
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| LI Zhe,XU Rui. Bifurcation of a Two-Neuron Network with Time Delay in the Leakage Terms[J]. Journal of Ordnance Engineering College, 2014, 0(2): 71-74 |
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| Authors: | LI Zhe XU Rui |
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| Affiliation: | (Basic Courses Department,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | The Hopf bifurcation of a two-neuron network with two time delays in the leakage terms and activation functions is investigated.By choosing the leakage delay and discrete delay as the bifurcation parameter respectively,we prove that the system is locally asymptotically stable in a range of the time delay and Hopf bifurcation occurs as the time delay crosses a critical value.Finally,two examples are given to illustrate the theoretical results. |
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| Keywords: | neural networks leakage delay bifurcation |
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