Sufficient Condition for Synchronization in Complete Networks of Reaction-Diffusion Equations of Hindmarsh-Rose Type with Linear Coupling

This paper studies the identical synchronization in a complete network consisting of n nodes. Each node is represented by reaction-diffusion equations of Hindmarsh-Rose type which was simplified from the famous Hodgkin-Huxley model. They are connected by linear coupling. From this complete network,...

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Bibliographic Details
Published inIAENG international journal of applied mathematics Vol. 52; no. 2; pp. 1 - 5
Main Author Em, Phan Van Long
Format Journal Article
LanguageEnglish
Published Hong Kong International Association of Engineers 01.06.2022
Subjects
Applied mathematics
Coupling
Neurons
Nodes
Ordinary differential equations
Partial differential equations
Reaction-diffusion equations
Synchronism
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Summary:This paper studies the identical synchronization in a complete network consisting of n nodes. Each node is represented by reaction-diffusion equations of Hindmarsh-Rose type which was simplified from the famous Hodgkin-Huxley model. They are connected by linear coupling. From this complete network, a sufficient condition on the coupling strength is identified to get the synchronization. The result shows that the complete networks synchronize more easily if they have more nodes. The paper also shows this theoretical result numerically and sees that there is a compromise.
ISSN:1992-9978
1992-9986