Dynamics of a system of rational third-order difference equation

被引：66
作者：
Zhang, Qianhong [1 ]
Yang, Lihui [2 ]
Liu, Jingzhong [3 ]
机构：
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Sch Math & Stat, Guiyang 550004, Guizhou, Peoples R China
[2] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China
[3] Hunan Inst Technol, Comp & Informat Sci Dept, Hengyang 421002, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
difference equation; local behavior; unstable; POSITIVE SOLUTIONS;
D O I：
10.1186/1687-1847-2012-136
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the dynamical behavior of positive solution for a system of a rational third-order difference equation Xn+1 = Xn-2/B + Yn-2Yn-1Y2, Yn+1 = Yn-2/A + Xn-2Xn-1Xn, n = 0,1, ..., where A, B is an element of (0,infinity), X-2, X-1, X-0 is an element of (0,infinity); Y-2, Y-1, Y-0 is an element of (0,infinity)
引用
收藏
页数：6
相关论文
共 12 条
[1]   El Naschie's self-organization of the patterns in a plasma discharge: Experimental and theoretical results [J].
Agop, M. ;
Rusu, Ioana .
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) :172-186
[2]  
[Anonymous], 2013, Nonlinear Difference Equations: Theory with Applications to Social Science Models
[3]   On the difference equation xn+1=xn-1/-1+xnxn-1 [J].
Çinar, C .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (03) :813-816
[4]   On the solutions of the difference equation xn+1=xn-1/-1+axnxn-1 [J].
Çinar, C .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (03) :793-797
[5]   On the positive solutions of the difference equation Xn+1 = (xn-1)/1+axnxn-1 [J].
Çinar, C .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (03) :809-812
[6]   On the positive solutions of the difference equation xn+1 = (xn-1)/(1+xnxn-1) [J].
Çinar, C .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (01) :21-24
[7]   A coupled system of rational difference equations [J].
Clark, D ;
Kulenovic, MRS .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 43 (6-7) :849-867
[8]   Global asymptotic behavior of a two-dimensional difference equation modelling competition [J].
Clark, D ;
Kulenovic, MRS ;
Selgrade, JF .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (07) :1765-1776
[9]  
Kocic V.L., 1993, Global behavior of nonlinear difference equations of higher order with applications
[10]  
Marwan A, 2006, APPL MATH COMPUT, V176, P768
12