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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
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Abstract
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.
Keywords
complete network, coupling strength, Hindmarsh-Rose 3D type, identical synchronization, linear coupling, ordinary differential equations
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
References
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