Bifurcations and membrane excitability of a two-dimensional neural model. (June 2015)

• Record Type: Journal Article
• Authors: Liu, Xuanliang; Zhao, Chuanli
• Is Part Of: Chaos, solitons and fractals. Volume 75(2015)
• Page Start: 118
• Page End: 126
• Publication Date: 2015-06
• Subjects: Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2015.02.018
• Languages: English
• ISSNs: 0960-0779

Abstract

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.