期刊文献+

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 Cohen-Grossberg Neural Networks
下载PDF
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,得到了一类中立型Co-hen-Grossberg神经网络概周期解的存在唯一性的充分条件. A set of sufficient conditions is derived for the existence and uniqueness of almost periodic solution of a class of neutral Cohen-Grossberg neural networks by establishing appropriate linear auxiliary equations and using exponential dichotomy, fixed-point theorem. An example is also discussed to illustrate the efficiency of the obtained results.
作者 何丹华
出处 《浙江外国语学院学报》 2011年第4期101-104,112,共5页 Journal of Zhejiang International Studies University
关键词 中立型神经网络 概周期解 指数二分性 不动点定理 neural networks almost periodic solution exponential dichotomy fixed-point theorem
  • 相关文献

参考文献1

同被引文献16

  • 1Liu B, Hang L. Existence and Exponential Stability of Almost Periodic Solutions for Hopfield Neural Networks with Delays [ J ]. Neurocomputing ,2005,68 : 196-207.
  • 2Chen A, Cao J. Existence and Attractivity of Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays and Variable Coefficients[ J]. Appl Math Comput,2003,134( 1 ) :125-140.
  • 3Chen A, Hang L H. Existence and Attractivity of Almost Periodic of Hopfield Neural Networks [ J ]. Math Acta Scientia, 2001,21 A(4) :505-511.
  • 4Liu Z, Chen A, Cao J, et al. Existence and Global Exponential Stability of Almost Periodic Solutions of BAM Neural Networks with Continuously Delays[ Jl- Phys Lett A,2003,319(4) :305-316.
  • 5Liu Z, Liao L. Existence and Global Exponential Stability of Periodic Solutions of Cellular Networks with Time-vary Delays [ J ]. J Math Anal Appl, 2004,290 (2) : 247-262.
  • 6Cao J. Global Exponential Stability of Hopfield Networks with Delays [ J ]. Internat J Syst Sci,2001,32 (2) :233-236.
  • 7Zhao Hongyong, Chen Ling, Mao Zisen. Existence and stability of almost periodic solution for Cohen- Grossberg neural networks with variable coefficients. Nonlinear Anal. RWA, 2008, 9:663-673.
  • 8Xiang Hongjun, Cao Jinde. Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays. Nonlinear Anal. RWA, 2009, 10:2407-2419.
  • 9Li Yongkun, Fan Xuanlong. Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with vaxiable coefficients. Appl. Math. Model, 2009,33:2114-2120.
  • 10Chen Zhang, Zhao Donghua, Ruan Jiong. Almost periodic attractor for Cohen-Grossberg neural networks with delay. Physics Letters A, 2009, 373:434-440.

引证文献2

二级引证文献2

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