- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 6
- A note on the stability of a neural field model
A note on the stability of a neural field model
Authors : Berrak Özgür, Ali Demir, Sertaç Erman
Pages : 1495-1502
View : 12 | Download : 8
Publication Date : 2018-12-12
Article Type : Research
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