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脉冲时滞细胞神经网络的周期解的存在性 被引量:1

Existence of Periodic Solutions of Impulsive Delay Cellular Neural Networks
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摘要 利用重合度理论中的延拓定理和微分不等式技巧,给出了具有状态依赖时滞和分布时滞的脉冲细胞神经网络的周期解的存在性的充分条件. By using the continuation theorem of Mawhin's coincidence degree theory and differential inequality artifice.sufficient conditions are obtained for the existence of periodic solution for cellular neural networks with distributed delays and state-dependent delays and impulses.
出处 《数学的实践与认识》 CSCD 北大核心 2010年第17期115-123,共9页 Mathematics in Practice and Theory
基金 烟台大学青年基金(SX08Z10)
关键词 细胞神经网络 周期解 脉冲 重合度 状态依赖时滞 分布时滞 cellular neural networks periodic solutions impulse coincidence degree state-dependent delays distributed delays
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参考文献6

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同被引文献11

  • 1张明明,张春蕊.时滞BAM神经网络模型的稳定性分析[J].生物数学学报,2008,23(2):257-264. 被引量:6
  • 2Xiang Hongjun, Cao Jinde. Almost periodic solution of Cohen- Grossberg neural networks with bounded and unbounded delays [ J ]. Nonlinear Analysis: Real World Applications, 2009, 10 :2407-2419.
  • 3Fan Meng, Zou Xingfu. Global asymptotic stability of a class of nonautenomous integro-differential systems and applications[ J]. Nonlinear Analysis TMA ,2004,57 : 111 - 135.
  • 4Kosko B. Bidirectional associative memories[ J ]. IEEE Trans Syst Man Cybernet, 1988,18:49-60.
  • 5Song Y ,Hart M ,Wei J. Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays [ J ]. Physica D: Nonlinear Phenomena ,2005,200 : 185-204.
  • 6Li M Y, Muldowney J. On Bendixson' s criterion [ J ]. J Diff Eqs, 1994,106:27 -39.
  • 7Wu J. Symmetric functional differential equations and neural networks with memory [ J ]. Tran Amer Math Soc, 1998,350 : 4799 -4838.
  • 8吴然超.时滞离散神经网络的同步控制[J].物理学报,2009,58(1):139-142. 被引量:4
  • 9戴娟,周宗福.具S-型分布时滞的模糊细胞神经网络的周期解及指数稳定性[J].数学的实践与认识,2009,39(24):118-128. 被引量:2
  • 10刘开宇,王成亮.非线性二元离散神经网络模型的渐近性[J].湖南大学学报(自然科学版),2010,37(3):53-56. 被引量:1

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