An advanced design method of bursting in FitzHugh-Nagumo model

Spiking and bursting observed in nerve membranes seem to be important when we investigate information representation model in the brain. Many topologically different bursting responses are observed in the mathematical models and their related bifurcation mechanisms have been clarified. In this paper, we propose an advanced design method to generate bursting responses in FitzHugh-Nagumo(FHN) model with a simple periodic external force based on bifurcation analysis. Some effective parameter perturbations for the amplitude of the external input are given from the 2-parameter bifurcation diagram. A forced BVP oscillator as an analogy of FHN model indicates an expected type of bursting. We show its laboratory experiments.