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一类分流抑制细胞神经网络概周期解的存在性

Existence of Almost Periodic Solutions for a Class of Shunting Inhibitory Cellular Neural Networks
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摘要 研究各细胞元拥有各自信号处理函数并具分布时滞的变系数二维分流抑制细胞神经网络的概周期解的存在性,获得了存在性的一个充分条件. The two-dimensional shunting inhibitory cellular neural networks were investigated, which were full of distributed delays and variable coefficients, and every cell has its own signal transmission function respectively. A sufficient condition about existence of almost periodic solution for the system was obtained.
作者 张仲珍 周铁军
机构地区 湖南生物机电职业技术学院基础课部 湖南农业大学理学院
出处 《湖南农业大学学报（自然科学版）》 CAS CSCD 北大核心 2006年第3期330-332,共3页 Journal of Hunan Agricultural University(Natural Sciences)
基金 湖南省教育厅项目(05C309)
关键词 细胞神经网络 概周期解 存在性 充分条件 cellular neural networks almost periodic solutions existence
分类号 O175.4 [理学—基础数学]
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参考文献7

  • 1Bouzerdoum A,Pinter R B.Shunting inhibitory cellular networks:derivation and stability analysis[J].EEE Trans Circuits and Syst,1993,40(3):215-221.
  • 2Chen A,Cao J.Existence and attractivity for almost periodic solutions for cellular neural networks with distributed delays and variable coefficients[J].Appl Mathe and Comput,2003,134:125-140.
  • 3Chen A,Huang L,Cao J.Existence and stability of almost periodic solution for BAM neural networks with delays[J].Appl Math and Comput,2003,137:177-193.
  • 4Chen A,Cao J.Almost periodic solution of shunting inhibitoty CNNs with delays[J].Phys Lett A,2002,298:161-170.
  • 5Huang X,Cao J.Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay[J].Phys Lett A,2003,314:222-231.
  • 6周铁军,周玉元.一类细胞神经网络概周期解的存在性与吸引性[J].工程数学学报,2005,22(3):507-512. 被引量：3
  • 7Frink A M.Almost Periodic Differential Equation[M].New York:Springer-Verlag,1974.

二级参考文献9

  • 1廖晓昕.细胞神经网络的数学理论(Ⅱ)[J].中国科学（A辑）,1994,24(10):1037-1047. 被引量：56
  • 2Chua L Q, Yang L. Cellular neural networks: theory[J]. IEEE Trans Circuits and Systems,1988;35:1257-1272
  • 3Chen A, Cao J. Existence and attractivity for almost periodic solutions for cellular neural networks with distributed delays and variable coefficients[J]. Applied Mathematics and Computation, 2003;134:125-140
  • 4Chen A, Huang L, Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays[J]. Applied Mathematics and Computation,2003;137:177-193
  • 5Bouzerdoum A, Pinter R B. Shunting inhibitory cellular networks: derivation and stability analysis[J].IEEE Trans Circuits and Systems,1993;40(3):215-221
  • 6Chen A, Cao J. Almost periodic solution of shunting inhibitoty CNNs with delays[J]. Phys Lett,2002;298:161-170
  • 7Huang X, Cao J. Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay[J]. Phys Lett,2003;314:222-231
  • 8Frink A M. Almost Periodic Differential Equation[M]. New York: Springer-Verlag, 1974
  • 9曹进德.时延细胞神经网络的指数稳定性和周期解[J].中国科学（E辑）,2000,30(6):541-549. 被引量：30

共引文献2

湖南农业大学学报（自然科学版）
2006年 第3期

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