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Date Published: 30/06/2019
Online Published: 30/06/2019
Abstract Views: 27
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DOI: https://doi.org/10.52714/dthu.38.6.2019.701
Issue
No. 38 (2019): Part B - Natural Sciences
Section
Natural Sciences Issue
How to Cite
Phan, L. V. E. (2019). Synchronization on the network of two Fitzhugh-Nagumo systems with the effect of the external electrical stimulation. Dong Thap University Journal of Science, 38, 74-77. https://doi.org/10.52714/dthu.38.6.2019.701

Synchronization on the network of two Fitzhugh-Nagumo systems with the effect of the external electrical stimulation

Long Van Em Phan1
1 An Giang University

Main Article Content

Abstract

This paper investigates both necessary and sufficient conditions of the coupling strength in order to cause the synchronization of two interacting FitzHugh-Nagumo systems (FHN) with the effect of one parameter, namely the frequency of the external electrical stimulation. The Lyapunov function method is used to identify the sufficient condition, while the largest transverse Lyapunov exponent helps to find out the necessary condition of the coupling strength. The result shows that the synchronization occurs when the coupling strength is large enough. Moreover, the numerical results are presented to test the theoretical one.

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

Keywords

Coupling strength, FitzHugh-Nagumo system, Lyapunov function method, largest transverse Lyapunov exponent, synchronization

References

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