Robust synchronization control of coupled chaotic neurons under external electrical stimulation

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

doi:10.1016/j.chaos.2007.09.014

Robust synchronization control of coupled chaotic neurons under external electrical stimulation

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

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34 Scopus citations

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 language	English (US)
Pages (from-to)	1333-1342
Number of pages	10
Journal	Chaos, Solitons and Fractals
Volume	40
Issue number	3
DOIs	https://doi.org/10.1016/j.chaos.2007.09.014
State	Published - May 15 2009

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2007.09.014

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title = "Robust synchronization control of coupled chaotic neurons under external electrical stimulation",

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.",

author = "Yanqiu Che and Jiang Wang and Zhou, {Si Si} and Bin Deng",

note = "Funding Information: This work is supported by National Nature Science Foundation of PR China under Grant 50537030.",

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T1 - Robust synchronization control of coupled chaotic neurons under external electrical stimulation

AU - Che, Yanqiu

AU - Wang, Jiang

AU - Zhou, Si Si

AU - Deng, Bin

N1 - Funding Information: This work is supported by National Nature Science Foundation of PR China under Grant 50537030.

PY - 2009/5/15

Y1 - 2009/5/15

N2 - 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.

AB - 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.

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JO - Chaos, Solitons and Fractals

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Robust synchronization control of coupled chaotic neurons under external electrical stimulation

Abstract

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