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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Detalles Bibliográficos
Autor: Alexander Pisarchik
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:México
Institución:Centro de Investigaciones en Óptica
Repositorio:Repositorio Institucional CIO
OAI Identifier:oai:cio.repositorioinstitucional.mx:1002/1013
Acceso en línea:http://cio.repositorioinstitucional.mx/jspui/handle/1002/1013
Access Level:acceso embargado
Palabra clave:info:eu-repo/classification/cti/1
Descripción
Sumario: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.