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Bifurcations and membrane excitability of a two-dimensional neural model

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  • Liu, Xuanliang
  • Zhao, Chuanli

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.

Suggested Citation

  • Liu, Xuanliang & Zhao, Chuanli, 2015. "Bifurcations and membrane excitability of a two-dimensional neural model," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 118-126.
    • Handle: RePEc:eee:chsofr:v:75:y:2015:i:c:p:118-126
    DOI: 10.1016/j.chaos.2015.02.018
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