On control of Hopf bifurcation in BAM neural network with delayed self-feedback

被引：0

作者：

Xiao, Min ^{[1
]}

Cao, Jinde

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Nanjing Xiaozhuang Coll, Dept Math, Nanjing 210017, Peoples R China

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1 | 2006年 / 3971卷

关键词：

D O I：

暂无

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, the control of Hopf bifurcations in BAM neural network with delayed self-feedback is presented. The asymptotic stability theorem and the relevant corollary for linearized nonlinear dynamical systems are stated. For BAM neural network with delayed self-feedback, a control model based on washout filter is proposed and analyzed. By applying the stability lemma, we investigate the stability of the control system and state the relevant theorem for choosing the parameters of the stabilized control system. Some numerical results are also given to illustrate the correctness of our results.

引用

页码：285 / 290

页数：6

共 16 条

[11] Bifurcations, stability, and monotonicity properties of a delayed neural network model [J].

Olien, L ;

Belair, J .

PHYSICA D, 1997, 102 (3-4) :349-363

[12] Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays [J].

Song, YL ;

Han, MA ;

Wei, JJ .

PHYSICA D-NONLINEAR PHENOMENA, 2005, 200 (3-4) :185-204

[13] Stabilization role of inhibitory self-connections in a delayed neural network [J].

van den Driessche, P ;

Wu, JH ;

Zou, XF .

PHYSICA D-NONLINEAR PHENOMENA, 2001, 150 (1-2) :84-90

[14] Analysis of the bifurcation diagram of a hybrid bistable system with feedback controls of chaos [J].

Zheng, ZR ;

Huang, J ;

Gao, JY .

PHYSICAL REVIEW E, 1999, 60 (05) :5422-5425

[15] Robust synchronization of delayed neural networks based on adaptive control and parameters identification [J].

Zhou, J ;

Chen, TP ;

Xiang, L .

CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :905-913

[16]

Zhou J, 2005, APPL MATH MECH-ENGL, V26, P327

← 1 2 →