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Periodic Solutions of a System of Piecewise Linear Difference Equations
Tikjha, Wirot,Lapierre, Evelina Department of Mathematics 2020 Kyungpook mathematical journal Vol.60 No.2
In this article we consider the following system of piecewise linear difference equations: x<sub>n+1</sub> = |x<sub>n</sub>| - y<sub>n</sub> - 1 and y<sub>n+1</sub> = x<sub>n</sub> + |y<sub>n</sub>| - 1. We show that when the initial condition is an element of the closed second or fourth quadrant the solution to the system is either a prime period-3 solution or one of two prime period-4 solutions.