Stability diagrams for bursting neurons modeled by three-variable maps
  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. 
M. Copelli, M. H. R. Tragtenberg and O. Kinouchi