Nonautonomous Discrete Neuron Model with Multiple Periodic and Eventually Periodic Solutions

被引：3
|
作者：
Pisarchik, Alexander N. [1 ,2 ]
Radin, Michael A. [3 ]
Vogt, Ryan [3 ]
机构：
[1] Ctr Invest Opt, Leon 37150, GTO, Mexico
[2] Tech Univ Madrid, Ctr Biomed Technol, Madrid 28223, Spain
[3] Rochester Inst Technol, Coll Sci, Rochester, NY 14623 USA
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
D O I：
10.1155/2015/147282
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：6
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