期刊文献+

BEHAVIOR OF SOLUTIONS FOR A CLASS OF DIFFERENCE SYSTEMS

BEHAVIOR OF SOLUTIONS FOR A CLASS OF DIFFERENCE SYSTEMS
下载PDF
导出
摘要 In this paper, the discrete-time neural network model of two neurons with piecewise constant argument is considered. Some sufficient conditions under which every solution is either periodic or convergent are obtained. In this paper, the discrete-time neural network model of two neurons with piecewise constant argument is considered. Some sufficient conditions under which every solution is either periodic or convergent are obtained.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2004年第4期390-398,共9页 高校应用数学学报(英文版)(B辑)
基金 the National Natural Science Foundation of China ( 1 0 0 71 0 1 6) ,the Key Project ofChinese Ministry of Education ( No[2 0 0 2 ]78) ,the Doctor Program Foundation of the Ministry ofEducation of China( 2 0 0 1 0 5 32 0 0 2 ) ,the Foundation for Universi
关键词 CONVERGENCE PERIODICITY difference system neural network. Convergence, periodicity, difference system, neural network.
  • 相关文献

参考文献12

  • 1孟益民,黄立宏,刘开宇.二元双阈值时滞神经网络模型解的渐近性[J].应用数学学报,2003,26(1):158-175. 被引量:9
  • 2郭上江,黄立宏.一类二元神经网络的渐近行为[J].应用基础与工程科学学报,2001,9(2):111-119. 被引量:7
  • 3Huang L,Wu J.The role of threshold in preventing delay-induced oscillations of frus-trated neural networks with McCulloch-Pitts nonlinearity[].IntJMathGame Theory and Algebra.2001
  • 4Chen Yuming,Wu Jianhong.Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network[].Physica D Nonlinear Phenomena.1999
  • 5Chen Yuming,Wu Jianhong,Krisztin T.Connection orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system[].Journal of Differential Equations.2000
  • 6Destexhe A,Gaspard P.Bursting oscillations from a homoclinic tangency in a time delay system[].Physics Letters A.1993
  • 7Gopalsamy K,Leung I.Delay-induced periodicity in a neural network of excitation and inhibition[].Physica D Nonlinear Phenomena.1996
  • 8Sharkovsky,A N,Maistrenko,Yu L,Romanenko,E Yu. Difference Equations and Their Applications . 1993
  • 9Wu,Jianhong. Introduction to Neural Dynamics and Signal Transmission . 2001
  • 10Yuan Zhaohui,Huang Lihong,Chen Yuming.Convergence and periodicity of solutions for a discretetime network model of two neurons[].Mathematical and Computer Modelling.2002

二级参考文献14

  • 1[1]Huang Lihong, Wu Jianong. Joint Effects of Threshold and Synaptic Delay on Dynamics of Artificial Neural Networks with Mc Culloch-Pitts Nonlinearity, 1999. Fields Institute Communications, 2001, 29:235-243
  • 2[2]Huang Lihong, Wu Jianhong. The Role of Threshold in Preventing Delay-induced Oscillations ofFrusbrated Neural Networks with McCulloch-Pitts Nonlinearity, 1999. Int. J. Math. Game Theory and Algebra, 2001, 11(6): 71-100
  • 3[3]Padaman K, Malta C P, Co Grotta-Ragazzo, Arino O, Vibert J F. Fransient Oscillations in Continuous time Excitatory Ring Nearal Networks with Delay. Physical Review E, 1997, 55:3234-3248
  • 4[4]Pakdaman K, Grotta-Ragazzo C, Malta C P. Transient Regime Duration in Continuous-time Neural Networks with Delay. Physical Review E, 1998, 58:3623-3627
  • 5Hopfield J J. Neural networks and physical system with emergent collective computational abilities [ J ]. Proc Natl Aead Sci, 1982,79:2554 ~ 2558
  • 6Hopfield J J. Neurons with graded response have collective computational properties like two-stage neurons [ J ]. Proc Natl Acad Sci, 1984,81:3088 ~3092
  • 7Willson H R, Cowan J D. Excitatory and inhibitory interactions in localized populations of model neurons [ J ]. Biophys J, 1972,12:1~24
  • 8Gopalsamy K, Leung I. Delay induced periodicity in a neural network of excitation and inhibition [ J ]. Physics D, 1996,89:395 ~ 426
  • 9Destexhe A, Gaspard P. Bursting oscillations from a homoclinic tangency in a time delay system [ J ]. Physt Lett A, 1993,173:386 ~ 391
  • 10Pardaman K, Grotta-ragazzo C, Malta C P, et al. Effect of delay on the boundary of the basin attraetion in a system of two neurons[J]. Neural Networks, 1998,11:509 ~519

共引文献11

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