ON THE STABILITY OF TWO NEURON POPULATIONS INTERACTING WITH EACH OTHER

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Ozgur B., DEMİR A.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, vol.48, no.7, pp.2337-2346, 2018 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 48 Issue: 7
• Publication Date: 2018
• Doi Number: 10.1216/rmj-2018-48-7-2337
• Journal Name: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.2337-2346
• Kocaeli University Affiliated: Yes

Abstract

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.