Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

Pisarchik Alexander N; Radin Michael A<sup>*</sup>; Vogt Ryan

doi:10.1155/2015/147282

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Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

作者：Pisarchik Alexander N; Radin Michael A^*; Vogt Ryan

来源：Discrete Dynamics in Nature and Society, 2015, 2015: 147282.

DOI：10.1155/2015/147282

摘要

We introduce a nonautonomous discrete neuron model based on the Rulkov map and investigate its dynamics. Using both the linear stability and bifurcation analyses of the system of piecewise difference equations, we determine dynamical bifurcations and parameter regions of steady-state and periodic solutions.