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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 147282, 6 pages
Research Article

Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

1Centro de Investigaciones en Optica, Loma del Bosque 115, Lomas del Campestre, 37150 León, GTO, Mexico
2Center for Biomedical Technology, Technical University of Madrid, Campus de Montegancedo, 28223 Madrid, Spain
3College of Science, Rochester Institute of Technology, 1 Lomb Memorial Drive, Rochester, NY 14623, USA

Received 20 April 2015; Accepted 25 May 2015

Academic Editor: Lu Zhen

Copyright © 2015 Alexander N. Pisarchik et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.