A note on the stability of a neural field model

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Ozgur B., Demir A., Erman S.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.47, ss.1495-1502, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15672/hjms.2017.451
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1495-1502
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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 Stepan'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.