Stability diagrams for bursting neurons modeled by three-variable maps
arXiv:q-bio/0402031 · doi:10.1016/j.physa.2004.04.087
Abstract
We study a simple map as a minimal model of excitable cells. The map has two fast variables which mimic the behavior of class I neurons, undergoing a sub-critical Hopf bifurcation. Adding a third slow variable allows the system to present bursts and other interesting biological behaviors. Bifurcation lines which locate the excitability region are obtained for different planes in parameter space.
7 pages, 3 figures, accepted for publication