| BAMCG模型周期解的全局指数稳定性 |
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| 引用本文： | 谷群花,岳远望,陈安平.BAMCG模型周期解的全局指数稳定性[J].湘南学院学报,2008,29(5). |
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| 作者姓名： | 谷群花 岳远望 陈安平 |
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| 作者单位： | 1. 湘潭大学,数学与计算机学院,湖南,湘潭,411005
2. 湘潭大学,数学与计算机学院,湖南,湘潭,411005;湘南学院,数学系,湖南,郴州,423000 |
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| 基金项目： | supported by the Natural Science Foundation of China(10371103); Scientific Research Foundation of Hunan provincial education department(05A057) |
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| 摘 要： | 利用李雅普诺夫泛函和不等式Zm＋ 1∏k=1^m zk^qk≤1/r ∑k=1^m qkZk^r＋1/rzm＋1^r 研究了一类BAMCG模型的周期解，并获得了一些充分条件．这些结果推广了已有文献的结论．
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| 关 键 词： | 周期解 分布时滞 全局指数稳定性 BAMCG模型 |
Global Exponential Stability of Periodic Solutions to BAM-type Cohen-Grossberg Models |
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| GU Qun-hua,YUE Yuan-wang,CHEN An-ping.Global Exponential Stability of Periodic Solutions to BAM-type Cohen-Grossberg Models[J].Journal of Xiangnan University,2008,29(5). |
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| Authors: | GU Qun-hua YUE Yuan-wang CHEN An-ping |
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| Institution: | GU Qun-hua~1 YUE Yuan-wang~1 CHEN An-ping~(1,2) (1.School of Mathematics , Computational Science,Xiangtan University,Xiangtan 411005,China,2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China) |
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| Abstract: | In this paper,some sufficient conditions are obtained to ensure the existence and the global exponential stability of the peri-odic solution to the BAM-type Cohen-Grossberg neural networks involving distributed delays,using and Liapunov functional method and inequality zm+l(k=1Ⅱm zkqk ≤r 1 k=1∑m qkzkr+r,1 zrm+1,here zm+l>0,zk>0(k=1,2…,m).qk>o(k=1.2,…m)and k=1∑m qk=r-1,r>1.The results generalize the earlier publicatiom. |
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| Keywords: | Periodic solution Distributed delays global exponential stability BAM-type Cohen-Grossberg neural networks |
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