期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类中立型Cohen-Grossberg神经网络概周期解的存在唯一性 被引量：2

Existence and Uniqueness of Almost Periodic Solution for Neutral BAM-type Cohen-Grossberg Neural Networks
原文传递
导出
摘要 通过建立线性辅助方程,利用指数二分性及不动点定理,获得了一类具有混合时滞的中立型Cohen-Grossberg神经网络概周期解存在唯一性的充分条件. In this paper, by establishing appropriate linear auxiliary equations and using exponential dichotomy, fixed-point theorem, some sufficient conditions are derived for the existence and uniqueness of almost periodic solution of a class of neutral BAM-type Cohen- Grossberg neural networks
作者 欧伯群 姚晓洁
机构地区 岭南师范学院数学与计算科学学院 柳州师范高等专科学校数学与计算机科学系
出处 《应用数学学报》 CSCD 北大核心 2015年第2期212-221,共10页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11161029) 广东省自然科学基金(2014A030307016) 广西高校科学技术研究(2013YB282)资助项目
关键词 中立型BAM COHEN-GROSSBERG神经网络 概周期解 指数二分性 不动点定理 neutral BAM-type Cohen-Grossberg neural networks almost periodic solution exponential dichotomy fixed-point theorem
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献10

二级参考文献28

  • 1Zhao Yong (School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100191) Xia Yonghui (College of Math. and Computer Science, Fuzhou University, Fuzhou 350002).STABILITY OF DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL NETWORKS WITH DELAYS[J].Annals of Differential Equations,2008,24(4):498-505. 被引量：3
  • 2LUWENLIAN CHENTIANPING.ON PERIODIC DYNAMICAL SYSTEMS[J].Chinese Annals of Mathematics,Series B,2004,25(4):455-462. 被引量：3
  • 3刘炳文,黄立宏,历亚.三阶泛函微分方程的周期解的存在性[J].应用数学学报,2006,29(2):226-233. 被引量：3
  • 4COHEN M, GROSSBERG S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks[J]. IEEE Transactions on Systems, Mans and Cybernetics, 1983,13(5):815- 826.
  • 5KOSKO B. Bidirectional associative memories[J]. IEEE Transactions on Systems Man and Cybernetics, 1988,18:49-60.
  • 6KOSKO B. Adaptive bi-directional associative memories[J]. Appl. Opt., 1987,26(23):947-4960.
  • 7CAO JINDE, LIANG JINLING. Boundedness and stability for Cohen-Grossberg neural network with time-varying delays[J]. J. Math. Anal. Appl., 2004,296: 665-685.
  • 8CAO JINDE, SONG QIANKUN. Stability in Cohen- Grossberg-type bidirectional associative memory neural networks with time-varying delays[J]. Nonlinearity, 2006,19:1601-1617.
  • 9FENG CHUNGUANG, PLAMONDON R. Stability analysis of bidirectional associative memory networks with time delays[J]. IEEE Trans. Neural Networks, 2003,14:1560-1565.
  • 10LIANG JINLING, CAO JINDE. Exponential stability of continuous-time and discrete-time bi-directional associative memory networks with delays[J]. Chaos, Solitons and Fractals, 2004,22:773-785.

共引文献9

同被引文献12

引证文献2

二级引证文献1

应用数学学报
2015年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部