Dynamics of a family of two-dimensional difference systems

被引：2

作者：

Liu, Wanping ^{[1
,2
]}

Yang, Xiaofan ^{[1
]}

Liu, Xinzhi ^{[2
]}

机构：

[1] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 11期

关键词：

Difference equation; System; Equilibrium point; Global attractivity; GLOBAL ASYMPTOTIC-BEHAVIOR; RECURSIVE SEQUENCE XN+1; BOUNDEDNESS CHARACTER; POSITIVE SOLUTIONS; EQUATIONS; X(N+1); STABILITY;

D O I：

10.1016/j.amc.2012.11.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The boundedness and global asymptotic behavior of positive solutions of the nonlinear two-dimensional difference systems x(n) - Phi(x(n-t1), y(n-s1)), y(n) - Psi(y(n-s2), x(n-t2)), where t(1), s(1), s(2), t(2) are all positive integers, are investigated. Some sufficient conditions are established such that the positive solutions converge to the unique equilibrium. Finally, some examples are given to illustrate our results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：5949 / 5955

页数：7

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