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...

Full description

Bibliographic Details
Main Authors: Alexander N. Pisarchik, Michael A. Radin, Ryan Vogt
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/147282