ON THE STABILITY OF TWO NEURON POPULATIONS INTERACTING WITH EACH OTHER

Ozgur B., DEMİR A.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.48, sa.7, ss.2337-2346, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 7
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1216/rmj-2018-48-7-2337
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2337-2346
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we deal with stability for the linearized neural field model for two neuron populations. We determine the asymptotic stability region by using the D-subdivision method for different delay terms including time delays. Also, we find the number of unstable characteristic exponents for the unstable regions. We observe that the stability region for the model becomes smaller as the delay term tau increases.