Global stability analysis and existence of periodic solutions in an eight-neuron BAM neural network model with delays

被引：7

作者：

Javidmanesh, Elham ^{[1
]}

Dadi, Zohreh ^{[2
]}

Afsharnezhad, Zahra ^{[1
]}

Effati, Sohrab ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran

[2] Univ Bojnord, Dept Math, Bojnord, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 01期

关键词：

Lyapunov function; stability; periodic solution; neural network; time delay; HOPF-BIFURCATION ANALYSIS; TIME DELAYS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; NEURONS; MEMORY;

D O I：

10.3233/IFS-131007

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, an eight-neuron BAM neural network model with multiple delays is considered. We analyze the global existence of periodic solutions and conclude some of their properties such as being bounded. Furthermore, we construct an appropriate Lyapunov function which implies the global asymptotically stability. To illustrate our theoretical results, numerical simulations are presented.

引用

页码：391 / 406

页数：16

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