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ON PERIODIC DYNAMICAL SYSTEMS 被引量：3

ON PERIODIC DYNAMICAL SYSTEMS
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摘要 The authors investigate the existence and the global stability of periodic solution for dynamical systems with periodic interconnections, inputs and self-inhibitions. The model is very general, the conditions are quite weak and the results obtained are universal.
作者 LUWENLIAN CHENTIANPING
机构地区 LaboratoryofNonlinearMathematicsScience
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第4期455-462,共8页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.69982003, No.60074005) the Graduate Innovation Foundation of Pudan University.
关键词 Neural network Dynamical systems Periodic solution Global convergence 神经网络 动力学系统 周期解法 处处收敛 偏微分方程
分类号 O175.2 [理学—基础数学]
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参考文献7

  • 1[1]Chen, T. P., Lu, W. L. & Chen, G. R., Dynamical behaviors of a large class of general delayed neural networks, Neural Computation, to appear, 2004.
  • 2[2]Gopalsamy, K. & Sariyasa, Time delays and stimulus-dependent pattern formation in periodic envirorments in isolated neurons, IEEE Transactions on Neural Networks, 13:2(2002), 551-563.
  • 3[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.
  • 4[4]Mohamad, S. & Gopalsamy, K., Neuronal dynamics in time varying environments: continuous and discrete time models, Dis. Cont. Dyn. Syst., 6(2000), 841-860.
  • 5[5]Zhang, Y., Absolute periodicity and absolute stability of delayed neural networks, IEEE Transactions Cirsuits and Systems I, 49(2002), 256-261.
  • 6[6]Zheng, Y. X. & Chen, T. P., Global exponential stability of delayed periodic dynamical systems,Physics Letters A, 322:5-6(2004), 344-355.
  • 7[7]Zhou, J., Liu, Z. R. & Chen, G. R., Dynamics of delayed periodic neural networks, Neural Networks,17:1(2004), 87-101.

同被引文献6

  • 1Chen Tianping,Lu Wenlian,Chen Guanrong.Dynamical behaviors of a large class of general delayed neural networks[J].Neural Computation,2005,17:949-968.
  • 2Zheng Yanxu,Chen Tianping.Global exponential stability of delayed periodic dynamical systems[J].Physics Letters A,2004,322(5-6):344-355.
  • 3Zhou Jin,Liu Zenrong,Chen Guanrong.Dynamics of delayed periodic neural networks[J].Neural Networks,2004,17(1):87-101.
  • 4Chen Tianping,Rong Libin.Delay-independent stability analysis of Cohen-Grossberg neural networks[J].Physics Letters A,2003,317:436-449.
  • 5Li Yongkun.Existence and stability of periodic solutions for Cohen-Grossberg neural networks with multiple delays[J].Chaos,Solitons and Fractals,2004,20:459-466.
  • 6向兰,周进,刘曾荣,孙姝.具有周期输入Hopfield型神经网络的全局渐近性质[J].应用数学和力学,2002,23(12):1220-1226. 被引量：7

引证文献3

二级引证文献3

Chinese Annals of Mathematics,Series B
2004年 第4期

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