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具分布时滞Cohen-Grossberg神经网络周期解的存在性与吸引性

Existence and Attractivity of Periodic Solutions of Cohen-Grossberg Neural Network with Distributed Delays
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摘要 利用数学分析方法,讨论了具分布时滞Cohen-Grossberg神经网络周期解的存在性与吸引性,推广了已有的结论. By using mathematical analysis technique, the existence and exponential attractivity of peri odic solution of Chen Grossberg neural network with distributed delays were studied and the results improve and extend, some existing ones in the literatures.
作者 贺战兵
出处 《经济数学》 北大核心 2010年第1期41-45,共5页 Journal of Quantitative Economics
关键词 时滞 COHEN-GROSSBERG神经网络 周期解 存在性 吸引性 delay Chen-Grossberg neural network periodic solution existence attractivity
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参考文献5

  • 1COHEN M,GROSSBERG S. Absolute stability and global pattern formation and parallel memory storage by competitive neural networks[J]. IEEE Trans Syst Man Cybernet,1983,13:815-826.
  • 2LI Y G,ZHU L F. Existence and attractivity of periodic solutions to Chen Grossberg neural network with distributed delays[J]. Electonic Journal of Differential Equations,2005,12:1-6.
  • 3Gaines R E, Mawhin J L. Coincidence dgree and nonlinear different equations[M]. Berlin:Springer-Verlag, 1977.
  • 4WEI J J, RUAN S G. Stability and bifurcation in a neural network model with two delays[J]. Phys D 1999,130:255- 272.
  • 5Gopalsamy K. Stability and Oscillation in delay different equations of population dynamics[M]. KLUWER Academic, Dordrecht, 1922.

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