Approximations to the time evolution of an Izhikevich neuron

August Romeo and Hans Supèr
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August Romeo: Department of Basic Psychology, Faculty of Psychology, University of Barcelona (UB), Pg. Vall d'Hebron 171, 08035 Barcelona, Spain
Hans Supèr: Department of Basic Psychology, Faculty of Psychology, University of Barcelona (UB), Pg. Vall d'Hebron 171, 08035 Barcelona, Spain;

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 10, 1-16

Abstract: Possible ways of obtaining information about the solutions of Izhikevich's "simple model" for a spiking neuron are considered. The method of power series in time is reviewed. From a different viewpoint, in the case of constant input and weak recovery scale effects, advantage is taken of a small-parameter expansion. The obtained approximations can be expressed in terms of elementary functions.

Keywords: Izhikevich model; differential equations; 84.35.+i; 80.87.10.Ed (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500521

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