| 一类一般输入输出函数的离散神经元模型的分支 |
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| 引用本文： | 陈薇娜,阮炯.一类一般输入输出函数的离散神经元模型的分支[J].数学年刊A辑,2009,30(6). |
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| 作者姓名： | 陈薇娜 阮炯 |
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| 作者单位： | 复旦大学数学科学学院,上海,200433 |
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| 摘 要： | 利用经典分支理论研究了一类一般输入输出函数的离散神经元模型的分支问题,得到了该类模型产生倍周期分支和鞍-结点分支的充分条件,推广了甘前特殊的正弦输入输出函数的该类模型的结果.所得的结果为这一类神经网络的应用提供了重要的理论基础.
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| 关 键 词： | 离散神经元模型 倍周期分支 鞍-结点分支 |
The Bifurcation of a Class of Discrete-Time Neural Networks with a General Activation Function |
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| CHEN Weina,RUAN Jiong.The Bifurcation of a Class of Discrete-Time Neural Networks with a General Activation Function[J].Chinese Annals of Mathematics,Series A,2009,30(6). |
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| Authors: | CHEN Weina RUAN Jiong |
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| Abstract: | By using classical bifurcation theories, the authors investigate a class of discrete-time neural networks with a general activation function, and obtain the sufficient condition of period-doubling bifucation and saddle-node bifucation of this model, which can be regarded as an extension of a sinusoidal activation function. As a result, an important theoretical foundation for the application of this class of neural networks is provided. |
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| Keywords: | Discrete neural networks Period-doubling bifurcation Saddlenode bifurcation |
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