Original articles: Synchronization of coupled chaotic FitzHugh-Nagumo neurons via Lyapunov functions

Authors:
Le Hoa Nguyen;Keum-Shik Hong
Affiliations:
School of Mechanical Engineering, Pusan National University, 30 Jangjeon-dong, Gumjeong-gu, Busan 609-735, Republic of Korea;Department of Cogno-Mechatronics Engineering and School of Mechanical Engineering, Pusan National University, 30 Jangjeon-dong, Gumjeong-gu, Busan 609-735, Republic of Korea
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 8
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Preface

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Abstract

After investigating the effect of the frequency of an external electrical stimulation on the chaotic dynamics of a single FitzHugh-Nagumo (FHN) neuron, this paper derives both a sufficient and a necessary condition of the coupling coefficient for self-synchronization of two interacting FHN neurons by using the Lyapunov function method and the largest transverse Lyapunov exponent, respectively. Also, for the cases that self-synchronization is not achieved through the coupling coefficient, a feedback control law for synchronization using the Lyapunov method is investigated. The performance of the proposed control law is compared with that of an existing one in the literature. Simulation results are provided.