You Position: Home > Paper

Asymptotic Stability of Periodic Solution for BAM Neural Networks with Distributed Delays

( views:130, downloads:0 )
Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
2
DOI:
10.3969/j.issn.1001-9626.2005.02.003
Key Word:
双向神经网络;分布时滞;周期解;存在性;渐近稳定性;BAM networks;Distributed delays;Periodic solution;Existence;Asymptotic stability

Abstract: By using the continuation theorem of coincidence degree theory and constructing suitable Lyapunov functionals, we study the existence and asymptotic stability of periodic solutions for a class of two-layer heteroassociative networks called bidirectional associative memory (BAM) networks with distributed delays xi(t) =-ai(t)xi(t) + m∑j=1pji(t)∫t -∞ hji(t- s)fj(yj(s))ds + Ii(t) , i = 1, 2 , …… , n, yj(t) =-bj(t)yj(t) + n∑i=1 qij(t)∫t-∞ kij(t - s)gi(xi(s) )ds + Jj(t) , j = 1, 2, …… , m.

WanfangData CO.,Ltd All Rights Reserved
About WanfangData | Contact US
Healthcare Department, Fuxing Road NO.15, Haidian District Beijing, 100038 P.R.China
Tel:+86-010-58882616 Fax:+86-010-58882615 Email:yiyao@wanfangdata.com.cn