广西师范大学学报(自然科学版) ›› 2012, Vol. 30 ›› Issue (3): 48-53.

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一类含n个时滞神经网络模型解的周期振动性

冯春华   

  1. 广西师范大学数学科学学院,广西桂林541004
  • 收稿日期:2012-05-21 出版日期:2012-09-20 发布日期:2018-12-04
  • 通讯作者: 冯春华(1949—),男,广西荔浦人,广西师范大学教授,博士。E-mail:chfeng@mailbox.gxnu.edu.cn
  • 作者简介:冯春华,1949年11月生,广西荔浦人。广西师范大学数学科学学院教授,美国《数学评论》评论员。
  • 基金资助:
    国家自然科学基金资助项目(10961005)

Periodic Oscillation for a Class of Neural Network Models with n Discrete Delays

FENG Chun-hua   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2012-05-21 Online:2012-09-20 Published:2018-12-04

摘要: 利用分析方法,研究一类含n个时滞神经网络模型解的周期振动性,得出保证系统存在周期振动的一组充分条件,理论分析和数值仿真显示,所得结果为此类时滞神经网络提供了新的振动性判定准则。

关键词: 时滞神经网络, 平衡点, 周期振动

Abstract: By using analysis method,periodic oscillation ofthe solutions for a class of neural network models with n discrete delays between neural interconnections is investigated.New criteria are proposed to guarantee the existence of periodic oscillation of the solutions for this network model.Numerical simulation validates this method and demonstrates the correctness of the theoretical analysis.

Key words: time delay neural network, equilibrium point, periodicoscillation

中图分类号: 

  • O175.1
[1] ZHANG Hua-guang,WANG Zhan-shan,LIU De-rong.Robust stabilityanalysis for intervalCohen-Grossberg neural networks with unknown time-varying delays[J].IEEETrans Neural Networks,2008,19(11):1942-1955.
[2] XU Jun,CAO Yong-yan,SUN You-xian,et al.Absolute exponential stability of recurrent neural networks with generalized activation function[J].IEEE Trans Neural Networks,2008,19(6):1075-1089.
[3] 夏文华,邓飞其,罗毅平.具周期输入的有限连续分布时滞神经网络周期解的全局指数稳定性[J].数学物理学报,2009,29A(1):171-178.
[4] JIN Hui-liang,ZACKSENHOUSE M.Oscillatory neural networks for robotic yo-yo control[J].IEEE Trans Neural Networks,2003,14(2):317-325.
[5] NISHIKAWA T,LAI Ying-cheng,HOPPENSTEADT F C.Capacity of oscillatory associative memory networks with error-free retrieval[J].Physical Riview Letters,2004,92(10):108101.
[6] 赵慧炜,李文华,冯春华,等.一类时滞递归神经网络的周期振动性[J].广西师范大学学报:自然科学版,2011,29(1):29-34.
[7] YANG Yu,YE Jin.Stability and bifurcation in a simplified five-neuron BAM neural network with delays[J].Chaos,Solitons and Fractals,2009,42(4):2357-2363.
[8] 冯春华.一类简化的
n个神经元时滞BAM神经网络模型的振动性[J].数学物理学报,2011,31A(5):1-13.
[9] CHAFEE N.A bifurcation problem for a functional differential equation of finitely retarded type[J].J Math Anal Appl,1971,35(2):312-348.
[1] 赵慧炜, 李文华, 冯春华, 罗晓曙. 一类时滞递归神经网络模型的周期振动性[J]. 广西师范大学学报(自然科学版), 2011, 29(1): 29-34.
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