Global dynamics of quadratic second order difference equation in the first quadrant

被引：9
|
作者：
Bektesevic, J. [1 ]
Kulenovic, M. R. S. [2 ]
Pilav, E. [3 ]
机构：
[1] Univ Sarajevo, Div Math, Fac Mech Engn, Sarajevo 71000, Bosnia & Herceg
[2] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
[3] Univ Sarajevo, Dept Math, Sarajevo 71000, Bosnia & Herceg
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷
关键词：
Attractivity; Basins; Difference equation; Invariant; Period-two solutions; Stable manifold; Unstable manifold; REAL POLYNOMIAL DIFFEOMORPHISMS; MAXIMAL ENTROPY; MAPS;
D O I：
10.1016/j.amc.2013.10.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the global behavior of a quadratic second order difference equation Xn+1 = Ax(n)(2) + Bx(n)x(n-1) + Cx(n-1)(2) + Dx(n) + Ex(n-1) + F, n = 0, 1, ... with non-negative parameters and initial conditions. We find the global behavior for all ranges of parameters and determine the basins of attraction of all equilibrium points. (C) 2013 Elsevier Inc. All rights reserved.
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页码：50 / 65
页数：16
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