| 具有变化时滞和变化系数的Cohen-Grossberg神经网络周期解的存在性 |
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| 引用本文： | 罗德兵,宋乾坤.具有变化时滞和变化系数的Cohen-Grossberg神经网络周期解的存在性[J].重庆文理学院学报(自然科学版),2007,26(5):6-12. |
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| 作者姓名： | 罗德兵 宋乾坤 |
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| 作者单位： | 重庆交通大学,理学院,重庆,南岸,400074 |
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| 基金项目： | 国家自然科学基金;重庆市教委资助项目 |
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| 摘 要： | 研究了具有变化时滞和变化系数的Cohen-Grossberg神经网络周期解的存在性．我们既没有假设活动函数的有界性、单调性和可微性，也没有假设放大函数的有界性，利用矩阵理论和一致度量理论，通过分析方法，获得了检验模型周期解存在性的一个充分条件．一个例子被提供以显示获得结果的有效性．
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| 关 键 词： | Cohen-Grossberg神经网络 变化时滞 一致度量理论 周期解 |
| 文章编号： | 1673-8012（2007）05-0006-07 |
| 修稿时间： | 2007-07-18 |
Existence of Periodic Solutions for Cohen-Grossberg Neural Networks with Time-Varying Delays |
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| LUO De-bing,SONG Qian-kun.Existence of Periodic Solutions for Cohen-Grossberg Neural Networks with Time-Varying Delays[J].Journal of Chongqing University of Arts and Sciences,2007,26(5):6-12. |
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| Authors: | LUO De-bing SONG Qian-kun |
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| Abstract: | In this paper, the Cohen - Grossberg neural network with time - varying delays is considered. We assume neither the boundedness, monotonicity and differentiability on the activation functions nor the boun dedness on amplification function. Some sufficient conditions ensuring the existence of periodic solution for the Cohen - Grossberg neural network with time - varying delays are obtained by employing matrix theory, a continuation theorem of the coincidence degree and inequality analysis. An example is given to show the ef- fectiveness of the obtained results. Our results are all independent of the delays and maybe more convenient to design a circuit network. |
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| Keywords: | Cohen - Grossberg neural networks time - varying delays continuation theorem of the coinci-dence degree periodic solutions |
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