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Volume 2, Issue 1
A New Model of Coupled Hindmarsh-Rose Neurons

Chi Phan & Yuncheng You

DOI: 10.12150/jnma.2020.79

J. Nonl. Mod. Anal., 2 (2020), pp. 79-94.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

A new model of two coupled neurons is presented by the partly diffusive Hindmarsh-Rose equations. The solution semiflow exhibits globally absorbing characteristics. As the main result, the self-synchronization of the coupled neurons at a uniform rate is proved, which can be extended to complex neuronal networks.

  • Keywords

Coupled Hindmarsh-Rose equations, Absorbing dynamics, Synchronization of neurons.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-79, author = {Phan , Chi and You , Yuncheng}, title = {A New Model of Coupled Hindmarsh-Rose Neurons}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {79--94}, abstract = {

A new model of two coupled neurons is presented by the partly diffusive Hindmarsh-Rose equations. The solution semiflow exhibits globally absorbing characteristics. As the main result, the self-synchronization of the coupled neurons at a uniform rate is proved, which can be extended to complex neuronal networks.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.79}, url = {http://global-sci.org/intro/article_detail/jnma/18799.html} }
TY - JOUR T1 - A New Model of Coupled Hindmarsh-Rose Neurons AU - Phan , Chi AU - You , Yuncheng JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 79 EP - 94 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.79 UR - https://global-sci.org/intro/article_detail/jnma/18799.html KW - Coupled Hindmarsh-Rose equations, Absorbing dynamics, Synchronization of neurons. AB -

A new model of two coupled neurons is presented by the partly diffusive Hindmarsh-Rose equations. The solution semiflow exhibits globally absorbing characteristics. As the main result, the self-synchronization of the coupled neurons at a uniform rate is proved, which can be extended to complex neuronal networks.

Phan , Chi and You , Yuncheng. (2021). A New Model of Coupled Hindmarsh-Rose Neurons. Journal of Nonlinear Modeling and Analysis. 2 (1). 79-94. doi:10.12150/jnma.2020.79
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