Controlling chaos in space-clamped FitzHugh-Nagumo neuron by adaptive passive method

被引：38

作者：

Wei, Du Qu ^{[1
]}

Luo, Xiao Shu ^{[1
]}

Zhang, Bo ^{[2
]}

Qin, Ying Hua ^{[1
]}

机构：

[1] Guangxi Normal Univ, Coll Elect Engn, Guilin 541004, Peoples R China

[2] S China Univ Technol, Power Elect Coll, Guangzhou 510640, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

关键词：

Chaos control; Passive control; Adaptive control; FitzHugh-Nagumo neuron; PHASE NONLINEAR-SYSTEMS; EQUATIONS; STABILIZATION; BIFURCATION; STABILITY; DYNAMICS; SIGNAL; MODEL;

D O I：

10.1016/j.nonrwa.2009.03.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The space-clamped FitzHugh-Nagumo (SCFHN) neuron exhibits complex chaotic firing when the amplitude of the external current falls into a certain area To control the undesirable chaos in SCFHN neuron, a passive control law is presented in this paper, which transforms the chaotic SCFHN neuron into an equivalent passive system. It is proved that the equivalent system can be asymptotically stabilized at any desired fixed state, namely, chaos in SCFHN neuron can be controlled Moreover, to eliminate the influence of undeterministic parameters, an adaptive law is introduced into the designed controller. Computer simulation results show that the proposed controller is very effective and robust against the uncertainty in systemic parameters (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1752 / 1759

页数：8

共 22 条

[1] PASSIVITY, FEEDBACK EQUIVALENCE, AND THE GLOBAL STABILIZATION OF MINIMUM PHASE NONLINEAR-SYSTEMS [J].

BYRNES, CI ;

ISIDORI, A ;

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (11) :1228-1240

[2] Exotic dynamic behavior of the forced FitzHugh-Nagumo equations [J].

Chou, MH ;

Lin, YT .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (10) :109-124

[3] Control of neural chaos by synaptic noise [J].

Cortes, J. M. ;

Torres, J. J. ;

Marro, J. .

BIOSYSTEMS, 2007, 87 (2-3) :186-190

[4] Passive adaptive control of chaos in synchronous reluctance motor [J].

Du-Qu, Wei ;

Xiao-Shu, Luo .

CHINESE PHYSICS B, 2008, 17 (01) :92-97

[5] Passivity-based control of switched reluctance motors with nonlinear magnetic circuits [J].

Espinosa-Pérez, G ;

Maya-Ortiz, P ;

Velasco-Villa, M ;

Sira-Ramírez, H .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2004, 12 (03) :439-448

[6] IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].

FITZHUGH, R .

BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&

[7] Chaos and bifurcation in the space-clamped FitzHugh-Nagumo system [J].

Gao, YH .

CHAOS SOLITONS & FRACTALS, 2004, 21 (04) :943-956

[8] Associative memory with a controlled chaotic neural network [J].

He, Guoguang ;

Chen, Luonan ;

Aihara, Kazuyuki .

NEUROCOMPUTING, 2008, 71 (13-15) :2794-2805

[9] A MODEL OF NEURONAL BURSTING USING 3 COUPLED 1ST ORDER DIFFERENTIAL-EQUATIONS [J].

HINDMARSH, JL ;

ROSE, RM .

PROCEEDINGS OF THE ROYAL SOCIETY SERIES B-BIOLOGICAL SCIENCES, 1984, 221 (1222) :87-102

[10] Rich dynamics of pulse-coupled spiking neurons with a triangular base signal [J].

Kon'no, Y ;

Saito, T ;

Torikai, H .

NEURAL NETWORKS, 2005, 18 (5-6) :523-531

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