Robust synchronization control of coupled chaotic neurons under external electrical stimulation

被引：31

作者：

Che, Yan-Qiu ^{[1
]}

Wang, Jiang ^{[1
]}

Zhou, Si-Si ^{[1
]}

Deng, Bin ^{[1
]}

机构：

[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 03期

关键词：

VISUAL-CORTEX; RESPONSES; SYSTEMS;

D O I：

10.1016/j.chaos.2007.09.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a robust adaptive neural network (NN) controller is proposed to realize the synchronization of two gap junction coupled chaotic FitzHugh-Nagumo (FHN) neurons under external electrical stimulation. Based oil the Lyapunov stability theory, we derive the update laws of NN for approximating the nonlinear uncertain functions of the error dynamical system. The control scheme is robust to the uncertainties such as approximate error, ionic channel noise and external disturbances. Chaos synchronization is obtained by proper choice of the control parameters. The simulation results demonstrate the effectiveness of the proposed control method. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1333 / 1342

页数：10

共 25 条

[1] Reconstructing embedding spaces of coupled dynamical systems from multivariate data [J].

Boccaletti, S ;

Valladares, DL ;

Pecora, LM ;

Geffert, HP ;

Carroll, T .

PHYSICAL REVIEW E, 2002, 65 (03)

[2] CHAOS IN A 3-VARIABLE MODEL OF AN EXCITABLE CELL [J].

CHAY, TR .

PHYSICA D, 1985, 16 (02) :233-242

[3] Unidirectional synchronization of Hodgkin-Huxley neurons [J].

Cornejo-Pérez, O ;

Femat, R .

CHAOS SOLITONS & FRACTALS, 2005, 25 (01) :43-53

[4] Synchronizing two coupled chaotic neurons in external electrical stimulation using backstepping control [J].

Deng, B ;

Wang, J ;

Fei, XY .

CHAOS SOLITONS & FRACTALS, 2006, 29 (01) :182-189

[5] Transitions to synchrony in coupled bursting neurons [J].

Dhamala, M ;

Jirsa, VK ;

Ding, MZ .

PHYSICAL REVIEW LETTERS, 2004, 92 (02) :4

[6] Synchronous behavior of two coupled biological neurons [J].

Elson, RC ;

Selverston, AI ;

Huerta, R ;

Rulkov, NF ;

Rabinovich, MI ;

Abarbanel, HDI .

PHYSICAL REVIEW LETTERS, 1998, 81 (25) :5692-5695

[7]

Glass L., 1995, HDB BRAIN THEORY NEU, P186

[8] OSCILLATORY RESPONSES IN CAT VISUAL-CORTEX EXHIBIT INTER-COLUMNAR SYNCHRONIZATION WHICH REFLECTS GLOBAL STIMULUS PROPERTIES [J].

GRAY, CM ;

KONIG, P ;

ENGEL, AK ;

SINGER, W .

NATURE, 1989, 338 (6213) :334-337

[9]

Gupta M., 1994, Neuro-Control Systems Theory and Applications

[10]

Harris-Warrick RM., 1992, DYNAMIC BIOL NETWORK

← 1 2 3 →