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Date Published: 10/10/2021
Online Published: 10/10/2021
Abstract Views: 62
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DOI: https://doi.org/10.52714/dthu.10.5.2021.889
Issue
Vol. 10 No. 5 (2021): Natural Sciences Issue (English)
Section
Natural Sciences Issue
How to Cite
Phan, V. L. E. (2021). Synchronization in complete networks of ordinary differential equations of Fitzhugh – Nagumo type with nonlinear coupling. Dong Thap University Journal of Science, 10(5), 3-9. https://doi.org/10.52714/dthu.10.5.2021.889

Synchronization in complete networks of ordinary differential equations of Fitzhugh – Nagumo type with nonlinear coupling

Van Long Em Phan1,
1 An Giang University, Vietnam National University Ho Chi Minh City, Vietnam

Main Article Content

Abstract

Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in a complete network consisting of n nodes. Each node is connected to all other nodes by nonlinear coupling and represented by an ordinary differential system of FitzHugh-Nagumo type (FHN) which can be obtained by simplifying the famous Hodgkin-Huxley model. From this complete network, a sufficient condition on the coupling strength is identified to achieve the synchronization. The result shows that the networks with bigger in-degrees of the nodes synchronize more easily. The paper also shows this theoretical result numerically and see that there is a compromise.

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Keywords

Coupling strength, complete network, FitzHugh-Nagumo model, nonlinear coupling, synchronization

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