Publication Date:
2015-08-12
Description:
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 and y n + 1 = x n + | y n | where b is any positive real number and the initial condition ( x 0 , y 0 ) is an element of R 2 . 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.
Print ISSN:
1687-1839
Electronic ISSN:
1687-1847
Topics:
Mathematics
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