Periodic oscillatory solution of bidirectional associative memory networks with delays

被引:151
|
作者
Cao, J [1 ]
Wang, L
机构
[1] SE Univ, Dept Appl Math, Nanjing 210096, Peoples R China
[2] Yunnan Univ, Adult Educ Coll, Kunming 650091, Peoples R China
[3] Chongqing Univ Posts & Telecommun, Dept Comp, Chongqing 400065, Peoples R China
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 02期
关键词
D O I
10.1103/PhysRevE.61.1825
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Periodic oscillatory phenomena of bidirectional associative memory (BAM) networks with axonal signal transmission delays are investigated by constructing suitable Lyapunov functionals and some analysis techniques. Some simple sufficient conditions are derived ensuring the existence and uniqueness of periodic oscillatory solutions of the BAM with delays, and all other solutions of the BAM converge exponentially to a periodic oscillatory solution. These conditions are presented in terms of system parameters, and have an important leading significance in the design and applications of periodic oscillatory neural circuits for the BAM with delays.
引用
收藏
页码:1825 / 1828
页数:4
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