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Số xuất bản: Tập 15 Số 5 (2026): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục: Khoa học Tự nhiên (Tiếng Anh)
Ngày xuất bản: 27/04/2026
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Phan, V. L. E., & Vo, T. T. N. (2026). Sufficient condition for identical synchronization in complete network of ordinary differential equations of the Hindmarsh – Rose 3D type with linear coupling. Natural Sciences Issue, 15(5), 51-59. https://dthujs.vn/index.php/nsen/article/view/2536

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Sufficient condition for identical synchronization in complete network of ordinary differential equations of the Hindmarsh – Rose 3D type with linear coupling

Phan Van Long Em1, , Vo Thi Tuyet Nhung2
1 An Giang University, Vietnam National University, Ho Chi Minh City, Vietnam
2 Vocational Education and Training Center - Continuing Education of Chau Thanh District, An Giang, Vietnam

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Tóm tắt

This paper examines identical synchronization in a complete network consisting of  nodes. Each node is connected to every other node through linear coupling and is represented by ordinary differential equations of the Hindmarsh-Rose 3D type, which can be derived from the well-known Hodgkin-Huxley model. The study establishes a sufficient condition regarding the coupling strength necessary to achieve the desired synchronization. The findings indicate that networks with higher in-degrees for the nodes synchronize more readily. Additionally, the paper presents numerical simulations in C++ to support this theoretical result, highlighting the existence of a trade-off.

Từ khóa

complete network, coupling strength, Hindmarsh-Rose 3D type, identical synchronization, linear coupling, ordinary differential equations

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