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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

A note on the stability of a neural field model

Berrak ÖZGÜR
Sertaç ERMAN
Ali DEMİR
Sayfa
1495–1502
Yayın Tarihi
2022-10-18
DOI
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Moreover we study on the stability cases by considering the real roots of the characteristic equation.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we consider the neural field model for two neural populations.
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Temel Bulgular & Veri:We investigate the properties of D-curves and we give some conditions for asymptotic stability.
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Sonuç & Katkı:Moreover we study on the stability cases by considering the real roots of the characteristic equation.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Neural field model · asymptotic stability

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.

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Bu Makaleye Atıf Yap

ÖZGÜR, B., ERMAN, S., DEMİR, A. (2022). A note on the stability of a neural field model. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1495–1502. https://ajindex.com/articles/529835

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Kaynakça (10)

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