具有时滞的Hopfield型神经网络的平稳周期振荡

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

On the Existence and Stability of Periodic Solutions for Hopfield Neural Network Equations With Delay

摘要: 研究一类具有周期输入的时滞Hopfield型神经网络的周期振荡,利用重合度和V-泛函的方法,得到了该网络存在唯一稳定周期振荡的条件.
- 时滞 /
- 神经网络 /
- 周期振荡 /
- 重合度
Abstract: Sufficient conditions are obtained for the existence, uniqueness and stability of T _periodic solutions for the Hopfield neural network equations with delay .
- delay /
- neural network /
- periodic oscillation /
- coincidence degree

[1]	廖晓昕.非线性连续神经网络的稳定性[J].华中师范大学学报(自然版),1992,26(1):1～4.
[2]	Forit M.On global asymptotic stability of a class of nonlinear systems arising in neural network theory[J].Journal of Differential Equation,1994,113(2):246～264.
[3]	李铁成,王铎.一类带有周期输入的人工神经网络的渐近性质[J].高校应用数学学报,1997,12(1):25～28.
[4]	Gaines R E,Mawhin J L.Coincidence degree and nonlinear differential equations[J].Lecture Notes in Math.567,Berlin:Springer-Verlag,1977.
[5]	Wang Lian,Zhao Huaizhong.The stability of nonautonomous detard difference-differential equation[J].Acta Mathematicae Sinica,New Series,1992,8(4):349～356.

点击查看大图