J. Nonl. Mod. Anal., 2 (2020), pp. 79-94.
Published online: 2021-04
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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} }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.