Synchronization of Boundary Coupled Hindmarsh-Rose Neuron Network
Abstract
In this work, we present a new mathematical model of a boundary coupled neuron network described by the partly diffusive Hindmarsh-Rose equations. We prove the global absorbing property of the solution semiflow and then the main result on the asymptotic synchronization of this neuron network at a uniform exponential rate provided that the boundary coupling strength and the stimulating signal exceed a quantified threshold in terms of the parameters.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2019
- DOI:
- 10.48550/arXiv.1912.02961
- arXiv:
- arXiv:1912.02961
- Bibcode:
- 2019arXiv191202961P
- Keywords:
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- Mathematics - Analysis of PDEs