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

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