Nonautonomous discrete neuron model with multiple periodic and eventually periodic solutions
type: Item
instance of: scholarly article
title: Nonautonomous discrete neuron model with multiple periodic and eventually periodic solutions
zbMATH Open document ID: 1418.92027
DOI: 10.1155/2015/147282
author: A. N. Pisarchik
author: M. Radin
author: Ryan Vogt
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 39A60
zbMATH DE Number: 7025233
Wikidata QID: Q57091105
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/147282
OpenAlex ID: W1574910808
cites work: On simplifying and classifying piecewise-linear systems
cites work: Modeling of spiking-bursting neural behavior using two-dimensional map
description: scientific article; zbMATH DE number 7025233