Periodic orbits of a neuron model with periodic internal decay rate

I. Bula and M.A. Radin

Applied Mathematics and Computation, 2015, vol. 266, issue C, 293-303

Abstract: In this paper we will study a non-autonomous piecewise linear difference equation which describes a discrete version of a single neuron model with a periodic internal decay rate. We will investigate the periodic behavior of solutions relative to the periodic internal decay rate. Furthermore, we will show that only periodic orbits of even periods can exist and show their stability character.

Keywords: Neuron model; Difference equation; Periodic orbits; Stability (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:293-303

DOI: 10.1016/j.amc.2015.05.097

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