title: Bifurcation analysis of a Morris-Lecar neuron model.
abstract: In this paper, we investigate the dynamical behaviors of a Morris-Lecar neuron model. By using bifurcation methods and numerical simulations, we examine the global structure of bifurcations of the model. Results are summarized in various two-parameter bifurcation diagrams with the stimulating current as the abscissa and the other parameter as the ordinate. We also give the one-parameter bifurcation diagrams and pay much attention to the emergence of periodic solutions and bistability. Different membrane excitability is obtained by bifurcation analysis and frequency-current curves. The alteration of the membrane properties of the Morris-Lecar neurons is discussed.
authors.affiliation: Department of Mathematics, South China University of Technology, Guangzhou, 510640, China.
authors.forename: Congmin
authors.initials: C
authors.lastname: Liu
authors.forename: Xuanliang
authors.initials: X
authors.lastname: Liu
authors.forename: Shenquan
authors.initials: S
authors.lastname: Liu
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000465:Algorithms; D000818:Animals; D006801:Humans; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*