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Date Published: 14/12/2024
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DOI: https://doi.org/10.52714/dthu.14.2.2025.1469
Issue
Vol. 14 No. 2 (2025): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Phan, V. L. E., Dang, T. Q. K., & Cao, H. K. (2024). Necessary and sufficient conditions for identical synchronization in a network of two ordinary diferential systems of Hindmarsh-Rose 3D type with bidirectionally linear coupling. Dong Thap University Journal of Science, 14(2), 97-102. https://doi.org/10.52714/dthu.14.2.2025.1469

Necessary and sufficient conditions for identical synchronization in a network of two  ordinary diferential systems of Hindmarsh-Rose 3D type with bidirectionally linear coupling

Van Long Em Phan1, , Tran Quoc Ky Dang1, Hoang Kiet Cao1
1 An Giang University, Vietnam National University Ho Chi Minh City, Vietnam

Main Article Content

Abstract

This study explores the sufficient and necessary conditions for achieving identical synchronization in a network of two ordinary differential systems of Hindmarsh-Rose 3D type (HR) with bidirectionally linear coupling. By constructing a suitable Lyapunov function, sufficient conditions are identified, while necessary conditions are derived using the largest transverse Lyapunov exponent. The findings indicate that identical synchronization occurs only when the coupling strength is sufficiently large. Additionally, this study employs numerical methods implemented in the R software to test the concerned theories.

Keywords

Coupling strength, Hindmarsh-Rose 3D model, largest transverse Lyapunov exponent, identical synchronization

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

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