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

Le Hoa Nguyen, Keum-Shik Hong


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.


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

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Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology