Robust synchronization control of coupled chaotic neurons under external electrical stimulation

Yanqiu Che, Jiang Wang, Si Si Zhou, Bin Deng

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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 on 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.

Original languageEnglish (US)
Pages (from-to)1333-1342
Number of pages10
JournalChaos, Solitons and Fractals
Volume40
Issue number3
DOIs
StatePublished - May 15 2009

Fingerprint

Neuron
Synchronization
Neural Networks
Gap Junction
Chaos Synchronization
FitzHugh-Nagumo
Lyapunov Stability Theory
Control Parameter
Disturbance
Dynamical system
Update
Controller
Uncertainty
Demonstrate
Simulation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Robust synchronization control of coupled chaotic neurons under external electrical stimulation. / Che, Yanqiu; Wang, Jiang; Zhou, Si Si; Deng, Bin.

In: Chaos, Solitons and Fractals, Vol. 40, No. 3, 15.05.2009, p. 1333-1342.

Research output: Contribution to journalArticle

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