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Eventually periodic solutions of single neuron model
Michael A. RadinInese Bulasubject
Period (periodic table)Differential equationApplied Mathematics010102 general mathematicsMathematical analysisperiodic solutionlcsh:QA299.6-433difference equationBiological neuron modellcsh:Analysis01 natural sciencesneuron model010101 applied mathematicsPiecewise linear functioneventually periodic solution0101 mathematicsAnalysisMathematicsdescription
In this paper, we consider a nonautonomous piecewise linear difference equation that describes a discrete version of a single neuron model with a periodic (period two and period three) internal decay rate. We investigated the periodic behavior of solutions relative to the periodic internal decay rate in our previous papers. Our goal is to prove that this model contains a large quantity of initial conditions that generate eventually periodic solutions. We will show that only periodic solutions and eventually periodic solutions exist in several cases.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-11-01 | Nonlinear Analysis: Modelling and Control |