Travelling Waves in Neural Fields with Continuous and Discontinuous Neuronal Activation

The main object of our study is travelling waves in vast neuronal ensembles modelled using neural field equations. We obtained conditions that guarantee the existence of travelling wave solutions and their continuous dependence under the transition from sigmoidal neuronal activation functions to the...

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Bibliographic Details
Main Authors: Evgenii Burlakov, Anna Oleynik, Arcady Ponosov
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/5/701