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Structural stability for the Morris–Lecar neuron model
Journal article   Open access  Peer reviewed

Structural stability for the Morris–Lecar neuron model

Zhenhai Liu, Salih Tatar, Süleyman Ulusoy and Mustafa Zeki
Applied mathematics and computation, Vol.270, pp.261-268
01/11/2015

Abstract

Continuous dependence Morris–Lecar equations Strong solution Structural stability Well-posedness
This paper is concerned with the biological neuron model of Morris–Lecar system of equations (Morris and Lecar, 1981) [17]. We prove the existence and uniqueness of strong solutions. In addition, we prove the continuous dependence of solutions to the leak conductance parameter.
url
https://doi.org/10.1016/j.amc.2015.08.031View
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