Lyapunov-based synchronization of two coupled chaotic Hindmarsh-Rose neurons

Le Hoa Nguyen; Keum-Shik Hong

doi:10.15625/1813-9663/30/4/4000

Lyapunov-based synchronization of two coupled chaotic Hindmarsh-Rose neurons

Le Hoa Nguyen, Keum-Shik Hong

Author affiliations

Authors

Le Hoa Nguyen University of Science and Technology-The University of Danang
Keum-Shik Hong Department of Cogno-Mechatronics Engineering and School of Mechanical Engineering, Pusan National University

DOI:

https://doi.org/10.15625/1813-9663/30/4/4000

Keywords:

Chaos, Hindmarsh-Rose neurons, Lyapunov function, nonlinear control, synchronization.

Abstract

This paper addresses the synchronization of coupled chaotic Hindmarsh-Rose neurons. A sufficient condition for self-synchronization is first attained by using Lyapunov method. Also, to achieve the synchronization between two coupled Hindmarsh-Rose neurons when the self-synchronization condition not satisfied, a Lyapunov-based nonlinear control law is proposed and its asymptotic stability is proved. To verify the effectiveness of the proposed method, numerical simulations are performed.

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Published

29-12-2014

How to Cite

[1]L. H. Nguyen and K.-S. Hong, “Lyapunov-based synchronization of two coupled chaotic Hindmarsh-Rose neurons”, J. Comput. Sci. Cybern., vol. 30, no. 4, p. 335, Dec. 2014.

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Issue

Vol. 30 No. 4 (2014)

Section

Cybernetics

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