Bifurcations and membrane excitability of a two-dimensional neural model

Xuanliang Liu and Chuanli Zhao

Chaos, Solitons & Fractals, 2015, vol. 75, issue C, 118-126

Abstract: In this paper, we investigate the dynamical behaviors of a two-dimensional Hodgkin–Huxley like neural model. By using bifurcation methods and numerical simulations, we study the bifurcations and membrane excitability in the neural model. We give the two-parameter and one-parameter bifurcation diagrams and pay much attention to the emergence of periodic solutions and multistability. Different classes of membrane excitability are obtained by the bifurcation analyses and the frequency-current curves. We also show that the neural model possesses bistability and tristability.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:75:y:2015:i:c:p:118-126

DOI: 10.1016/j.chaos.2015.02.018

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