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|Title:||On the global character of the system of piecewise linear difference equations x n+1 =|x n|- y n -1 and y n+1 = x n -|y n||
Evelina Giusti Lapierre
Commission on Higher Education
Johnson and Wales University
|Citation:||Advances in Difference Equations. Vol.2010, (2010)|
|Abstract:||We consider the system in the title where the initial condition (x 0, y 0) ∈ R 2. We show that the system has exactly two prime period-5 solutions and a unique equilibrium point (0, - 1). We also show that every solution of the system is eventually one of the two prime period-5 solutions or else the unique equilibrium point. Copyright © 2010 Wirot Tikjha et al.|
|Appears in Collections:||Scopus 2006-2010|
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