| 引用本文: | 刘开宇,侯振挺.一类具M-P型非线性二元神经网络模型的周期解.[J].国防科技大学学报,2008,30(4):129-132.[点击复制] |
| LIU Kaiyu,HOU Zhenting.The Periodic Solution of a Neural Networks of Two Neurons with McCulloch-Pitts Nonlinearity[J].Journal of National University of Defense Technology,2008,30(4):129-132[点击复制] |
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| 一类具M-P型非线性二元神经网络模型的周期解 |
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(1.湖南大学 数学与计量经济学院，湖南 长沙 410082;2.中南大学 数学科学与计算技术学院，湖南 长沙 410083)
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| 摘要: |
| 针对一类具M-P型非线性信号传输函数的二元神经网络模型，提出其初值振动时系统周期解的存在性问题。利用结式技巧，结合分析方法，建立了用结式表示的保证具振动初值系统周期解存在的充分条件，并通过例子说明零阈值情形周期解的稳定性。 |
| 关键词: 神经网络 周期解 结式 |
| DOI： |
| 投稿日期：2008-01-15 |
| 基金项目:国家自然科学基金资助项目(10601016) |
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| The Periodic Solution of a Neural Networks of Two Neurons with McCulloch-Pitts Nonlinearity |
| LIU Kaiyu1,2, HOU Zhenting3 |
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(1.College of Mathematics and Econometrics, Hunan Univ., Changsha 410082, China;2. 2.School of Mathematical Sciences and Computing Technology, Central South Univ., Changsha 410083, China;3.2.School of Mathematical Sciences and Computing Technology, Central South Univ., Changsha 410083, China)
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| Abstract: |
| The existence of the periodic solution for neural networks of two neurons with McCulloch-Pitts type signal functions and oscillatory initial value was proposed. By using the resultant techniques and method of analysis, resultant conditions which ensure the existence of periodic solution of the system with sign change of initial value were established. Furthermore, the stability of the periodic solution of the system with zero threshold was shown by example. |
| Keywords: neural network periodic solution resultant |
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