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时滞的周期神经网络模型周期解的存在性 被引量：1

The existence of periodic solution of the periodic neural network with time-delay
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摘要 研究具有离散时滞和分布时滞的周期神经网络模型的动力学.利用M aw h in连续定理以及拓扑度理论,证明了在一定条件下该周期神经网络系统周期解的存在性. This paper studies on dynamics of the periodic neural network with discrete and distributed time-delay. Under some conditions, by using Mawhin continuity theorem and degree theory, the existence of the periodic solution of the periodic neural network is proved.
作者 王亚民 刘玉荣
机构地区 扬州大学数学科学学院
出处 《扬州大学学报（自然科学版）》 CAS CSCD 2005年第4期12-15,共4页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(10171088) 江苏省教育厅自然科学基金资助项目(05KJB110154)
关键词 时滞 神经网络 周期解 存在性 time delay neural network periodic solution existence
分类号 O175.14 [理学—基础数学] TP183 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

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同被引文献9

  • 1黄先开,向子贵.具有时滞的Duffing型方程+g(x(t—τ))=p(t)的2π周期解[J].科学通报,1994,39(3):201-203. 被引量：90
  • 2GAINES R E, MAWHIN J L. Coincidence degree and nonlinear differential equations [-M]//Lecture Notes in Mathematics. Berlin: Springer, 1977: 26-43.
  • 3WANG Genqiang, CHENG Suisun. A priori bounds for periodic solutions of a delay Rayleigh equation [J]. Appl Math Lett, 1999, 12(1): 41-44.
  • 4GE Weigao. On the existence of periodic solutions for a kind of Li6nard equation with a deviating argument [J]. J Math Anal Appl, 2004, 289(1): 241-243.
  • 5CHEN Yuehong, WANG Genqiang. Periodic solutions of nonautonomous delay Duffing equations with a com- plex deviating argument [J]. Far East J Appl Math, 2007, 26(2): 159-170.
  • 6LI Jingwen, WANG Genqiang. Sharp inequalities for periodic functions [J]. Appl Math E-Notes, 2005, 5(1): 75-83.
  • 7WANG Zhengxin, QIAN Longxia, LU Shiping, et al. The existence and uniqueness of periodic solutions for a kind of Duffing-type equation with two deviating arguments CJ]. Nonlinear Anal: Theory, Methods Appl, 2010, 73(9): 3034-3043.
  • 8CHEN Yuehong, LIN Weiwei. Existence of periodic solutions of iterative differential equations with deviating arguments CJ}. Far East J Math Sei, 2011, 50(1) .- 95-104.
  • 9李鹏程.一类Duffing型时滞微分方程的周期解[J].四川大学学报（自然科学版）,2003,40(2):195-198. 被引量：15

引证文献1

扬州大学学报（自然科学版）
2005年 第4期

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