Stability diagrams for bursting neurons modeled by three-variable maps

M. Copelli, M.H.R. Tragtenberg and O. Kinouchi

Physica A: Statistical Mechanics and its Applications, 2004, vol. 342, issue 1, 263-269

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.

Keywords: Neuron models; Coupled map lattices; Computational neuroscience; Hindmarsh–Rose; FitzHugh–Nagumo (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:342:y:2004:i:1:p:263-269

DOI: 10.1016/j.physa.2004.04.087

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