Year: 2020
Author: Chi Phan, Yuncheng You
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.79
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 79–94
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Coupled Hindmarsh-Rose equations Absorbing dynamics Synchronization of neurons.