Stability diagrams for bursting neurons modeled by three-variable maps

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

References in corpus (1)

• Relevance of Dynamic Clustering to Biological Networks

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