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.
引用
收藏
页数：6
相关论文
共 50 条
  • [31] Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays
    Xu, R
    Chaplain, MAJ
    Davidson, FA
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 823 - 831
  • [32] Eventually Periodic Solutions for Difference Equations with Periodic Coefficients and Nonlinear Control Functions
    Hou, Chengmin
    Cheng, Sui Sun
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2008, 2008
  • [33] Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
    Bo Zheng
    Advances in Difference Equations, 2007
  • [34] Multiple periodic solutions to nonlinear discrete Hamiltonian systems
    Zheng, Bo
    ADVANCES IN DIFFERENCE EQUATIONS, 2007, 2007 (1)
  • [35] Multiple solutions for discrete periodic nonlinear Schrodinger equations
    Sun, Jijiang
    Ma, Shiwang
    JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (02)
  • [36] Eventually periodic solutions of a max-type equation
    Xiao Qian
    Shi Qi-hong
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (3-4) : 992 - 996
  • [37] Periodic solutions of a single species discrete population model with periodic harvest/stock
    Zhang, RY
    Wang, ZC
    Chen, Y
    Wu, J
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (1-2) : 77 - 90
  • [38] Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics
    Adimy, Mostafa
    Amster, Pablo
    Epstein, Julian
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 211
  • [39] Uniform persistence and almost periodic solutions of a nonautonomous patch occupancy model
    Zhou, Hui
    Alzabut, Jehad
    Rezapour, Shahram
    Samei, Mohammad Esmael
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [40] Uniform persistence and almost periodic solutions of a nonautonomous patch occupancy model
    Hui Zhou
    Jehad Alzabut
    Shahram Rezapour
    Mohammad Esmael Samei
    Advances in Difference Equations, 2020
12345