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Cohen-Grossberg神经网络周期解的全局稳定性(英文)

New Conditions on Global Stability of Periodic Solutions for Cohen-Grossberg Neural Networks
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摘要 讨论了Cohen-Grossberg神经网络周期解的存在性和全局指数稳定性.讨论的模型非常综合,包含了大部分的模型,利用的条件非常弱,取得的结果非常简洁. The existence and global stability of periodic solution for Cohen-Grossberg neural networks with periodic interconnections and inputs are discussed. The modal is very general, the conditions are quite weak and the results obtained are universal.
作者 任昌磊 王利利
机构地区 复旦大学数学科学学院
出处 《复旦学报（自然科学版）》 CAS CSCD 北大核心 2007年第2期229-234,共6页 Journal of Fudan University：Natural Science
关键词 COHEN-GROSSBERG 神经网络 周期解 全局收敛 Cohen-Grossberg neural network periodic solution global convergence
分类号 O175 [理学—基础数学]
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参考文献6

  • 1LUWENLIAN CHENTIANPING.ON PERIODIC DYNAMICAL SYSTEMS[J].Chinese Annals of Mathematics,Series B,2004,25(4):455-462. 被引量：3
  • 2Chen Tianping,Lu Wenlian,Chen Guanrong.Dynamical behaviors of a large class of general delayed neural networks[J].Neural Computation,2005,17:949-968.
  • 3Zheng Yanxu,Chen Tianping.Global exponential stability of delayed periodic dynamical systems[J].Physics Letters A,2004,322(5-6):344-355.
  • 4Zhou Jin,Liu Zenrong,Chen Guanrong.Dynamics of delayed periodic neural networks[J].Neural Networks,2004,17(1):87-101.
  • 5Chen Tianping,Rong Libin.Delay-independent stability analysis of Cohen-Grossberg neural networks[J].Physics Letters A,2003,317:436-449.
  • 6Li Yongkun.Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays[J].Chaos,Solitons and Fractals,2004,20:459-466.

二级参考文献7

  • 1[4]Mohamad, S. & Gopalsamy, K., Neuronal dynamics in time varying environments: continuous and discrete time models, Dis. Cont. Dyn. Syst., 6(2000), 841-860.
  • 2[5]Zhang, Y., Absolute periodicity and absolute stability of delayed neural networks, IEEE Transactions Cirsuits and Systems I, 49(2002), 256-261.
  • 3[6]Zheng, Y. X. & Chen, T. P., Global exponential stability of delayed periodic dynamical systems,Physics Letters A, 322:5-6(2004), 344-355.
  • 4[7]Zhou, J., Liu, Z. R. & Chen, G. R., Dynamics of delayed periodic neural networks, Neural Networks,17:1(2004), 87-101.
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  • 7[3]Liu, Z. G. & Liao, L. S., Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays, J. Math. Annl. Appl., 290(2004), 247-262.

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复旦学报（自然科学版）
2007年 第2期

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