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

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

2014-12-29

How to Cite

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

Issue

Section

Cybernetics