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Issue: Vol. 13 No. 8 (2024): Natural Sciences Issue (Vietnamese)
Section: Natural Sciences Issue (Vietnamese)
Date Published: 14/11/2024
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Identical synchronization controller between the Hindmarsh -Rose 2D and the FitzHugh-Nagumo type model

Van Long Em Phan1, , Tan Dat Nguyen1, Minh Phuc Nguyen1, Thi Ngoc Lan Nguyen1
1 An Giang University, Vietnam National University Ho Chi Minh City, Vietnam

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Abstract

Identical synchronization is not easy to get between two different systems of ordinary differential equations even the big coupling strength. In this study, a controller is proposed to help the identical synchronization occur between the model of Hindmarsh-Rose 2D type and the model of FitzHugh-Nagumo type. Specifically, we search for sufficient conditions to achieve the desired synchronization with the introduced controller and simulate it numerically on R to verify its effectiveness.

Keywords

controller, identical synchronization, model of Hindmarsh-Rosse 2D, model of FitzHugh-Nagumo

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