文章基本信息

标题：Periodic solutions of a generalized system of piecewise linear difference equations
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作者：Wirot Tikjha ; Evelina Lapierre ; Yongwimon Lenbury 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：2015
卷号：2015
期号：1
页码：248
DOI：10.1186/s13662-015-0585-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article we consider the global behavior of the following system of piecewise linear difference equations: x n + 1 = x n − y n − b $x_{n+1}= x_{n} -y_{n}-b$ and y n + 1 = x n + y n $y_{n+1} = x_{n}+ y_{n} $ where b is any positive real number and the initial condition ( x 0 , y 0 ) $(x_(, y_()$ is an element of R 2 $R^,$ . By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution.
关键词：difference equations ; periodic solutions ; equilibrium solution