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

Các tác giả

  • Van Long Em Phan
  • Thi Tuyet Nhung Vo

DOI:

https://doi.org/10.52714/dthu.ns.2536.1833

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.

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Đã Xuất bản

2026-04-27

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Chuyên mục

Khoa học Tự nhiên (Tiếng Anh)