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The complete synchronization of coupled Morris–Lecar neurons with chemical synapses

Guanping Wang

http://orcid.org/0000-0001-7217-7049

School of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China

College of Engineering, Gansu Agricultural University, Lanzhou, Gansu 730070, P. R. China

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Wuyin Jin

School of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China

E-mail Address: wuyinjin@hotmail.com

Corresponding author.

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, and

An Wang

School of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, P. R. China

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https://doi.org/10.1142/S021797921650096XCited by:6 (Source: Crossref)

Abstract

Based on the basic principles of stability theory and Lyapunov function, the condition of complete synchronization in coupled Morris–Lecar (ML) neuronal system with chemical synapses is studied in this work. The boundedness of the model solution is proved by analytical approach, the sufficient condition of the complete synchronization is proposed based on the quadratic of the constructed Lyapunov function and the result is verified by simulations.

Keywords:

PACS: 05.45.Gg, 05.45.Pq, 05.45.Xt

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