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2018 On the stability of two neuron populations interacting with each other
Berrak Ozgur, AlI Demir
Rocky Mountain J. Math. 48(7): 2337-2346 (2018). DOI: 10.1216/RMJ-2018-48-7-2337

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.

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Berrak Ozgur. AlI Demir. "On the stability of two neuron populations interacting with each other." Rocky Mountain J. Math. 48 (7) 2337 - 2346, 2018. https://doi.org/10.1216/RMJ-2018-48-7-2337

Information

Published: 2018
First available in Project Euclid: 14 December 2018

zbMATH: 06999265
MathSciNet: MR3892135
Digital Object Identifier: 10.1216/RMJ-2018-48-7-2337

Subjects:
Primary: 34K20

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 7 • 2018
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