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具时滞反馈非线性系统差分系统的稳定周期解(英文) 被引量:1

The Stable Periodic Solution of Nonlinear Difference System with Delayed Feedback
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摘要 本文考虑一类具McCulloch pitts型信号函数的描述两个相同神经元动力作用的时滞差分系统 .所得结论推广了文 [2 ]的相应结果 ,同时对参数 (β ,σ)的某些范围得到了一个渐近稳定的 2k + 1周期解 . In this paper, we consider a delay difference system which describes the dynamic interaction of two identical neurons with McCulloch-Pitts type signal transmission function. We extended some results in \ and obtained a asymptotically stable 2k+1-periodic solution in some regions of parameters (β,σ).
作者 傅湘陵 周展
出处 《应用数学》 CSCD 北大核心 2002年第4期96-101,共6页 Mathematica Applicata
关键词 时滞反馈非线性系统差分系统 稳定性 周期解 Stability Periodic solution Delay difference system
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  • 1[1]Sharda C A and Freeman W J. How brains makes chaos in order to make sense of the world[J]. Brain Behavioural Sci. , 1987,10: 161~195.
  • 2[2]Zhou Z, Yu J S and Huang L. Asymptotic Behavior of Delay Difference Systems[J]. Computers Math.Appl. , 2001,42:283~290.
  • 3[3]Agarwal R P. Difference Equations and Inequalities; Theory, Method and Applications[M]. New York: Marcel Dckker, 1992.
  • 4[4]Agrwal R P and Wong P J Y. Advanced Topics in Difference Equations[M]. Dordrecht Kluwer,1997.
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