A note on the stability of a neural field model

Year 2018, Volume: 47 Issue: 6, 1495 - 1502, 12.12.2018

Berrak Özgür Ali Demir , Sertaç Erman

https://izlik.org/JA72GB49BX

Abstract

In this paper we consider the neural field model for two neural populations. We investigate the properties of D-curves and we give some conditions for asymptotic stability. The asymptotic stability region is determined by using the Stépan's formula. Taking various delay terms into account, the effect of delay on the stability is investigated. Moreover we study on the stability cases by considering the real roots of the characteristic equation.

Keywords

Neural field model , asymptotic stability

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