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
  • [41] Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics
    Adimy, Mostafa
    Amster, Pablo
    Epstein, Julián
    Nonlinear Analysis, Theory, Methods and Applications, 2021, 211
  • [42] Periodic solutions of nonautonomous ordinary differential equations
    Kiguradze, I.
    Lomtatidze, A.
    MONATSHEFTE FUR MATHEMATIK, 2010, 159 (03): : 235 - 252
  • [43] Periodic solutions of a discrete time nonautonomous two-species mutualistic system with delays
    Liu, Zhijun
    Chen, Lansun
    ADVANCES IN COMPLEX SYSTEMS, 2006, 9 (1-2): : 87 - 98
  • [44] Periodic solutions for a nonautonomous ordinary differential equation
    Albuquerque Araujo, Anderson Luis
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (05) : 2897 - 2903
  • [45] NONTRIVIAL SOLUTIONS FOR SUPERQUADRATIC NONAUTONOMOUS PERIODIC SYSTEMS
    Hu, Shouchuan
    Papageorgiou, Nikolas S.
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 34 (02) : 327 - 338
  • [46] Existence of periodic solutions for a nonautonomous differential equation
    Albuquerque de Araujo, Anderson Luis
    Martins, Ricardo Miranda
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2012, 19 (02) : 305 - 310
  • [47] Periodic solutions for a class of nonautonomous Hamiltonian systems
    Long, YM
    Xu, XJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (3-4) : 455 - 463
  • [48] PERIODIC-SOLUTIONS OF A QUARTIC NONAUTONOMOUS EQUATION
    ALWASH, MAM
    LLOYD, NG
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (07) : 809 - 820
  • [49] Periodic solutions of nonautonomous ordinary differential equations
    I. Kiguradze
    A. Lomtatidze
    Monatshefte für Mathematik, 2010, 159 : 235 - 252
  • [50] Spectral invariants of periodic nonautonomous discrete dynamical systems
    Alves, Joao Ferreira
    Malek, Michal
    Silva, Luis
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 430 (01) : 85 - 97
12345