文章基本信息

标题：The stable equilibrium of a system of piecewise linear difference equations
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作者：Wirot Tikjha ; Evelina Lapierre ; Thanin Sitthiwirattham 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：67
DOI：10.1186/s13662-017-1117-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article we consider the global behavior of the system of first order piecewise linear difference equations: x n + 1 = x n − y n + b $x_{n+1} = ert x_{n} ert - y _{n} +b$ and y n + 1 = x n − y n − d $y_{n+1} = x_{n} - ert y_{n} ert - d$ where the parameters b and d are any positive real numbers. We show that for any initial condition in R 2 $R^,$ the solution to the system is eventually the equilibrium, ( 2 b + d , b ) $(2b + d, b)$ . Moreover, the solutions of the system will reach the equilibrium within six iterations.
关键词：difference equations ; piecewise linear ; equilibrium ; stability