Some Stability Charts of A Neural Field Model of Two Neural Populations

Ozgur B., DEMİR A.

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, cilt.7, sa.2, ss.159-166, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.159-166
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper we study on the neural field model of two neuron populations. We make the stability analysis of the linearized model by considering the effect of the synaptic connectivity function. We separate the plane into regions on which we find the number of roots with positive real parts. Hence we find the asymptotic stability region. To separate the plane we use the D-curves and we determine some properties of these curves.