Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

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 so...

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Detalhes bibliográficos
Autor: Alexander Pisarchik
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2015
País:México
Recursos:Centro de Investigaciones en Óptica
Repositório:Repositorio Institucional CIO
OAI Identifier:oai:cio.repositorioinstitucional.mx:1002/1013
Acesso em linha:http://cio.repositorioinstitucional.mx/jspui/handle/1002/1013
Access Level:Acesso embargado
Palavra-chave:info:eu-repo/classification/cti/1
Descrição
Resumo: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.