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.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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