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versión On-line ISSN 0719-0646


GROVE, E.A; LAPIERRE, E  y  TIKJHA, W. On the global behavior of Descripción: http:/fbpe/cubo/v14n2/art7.1.gif. Cubo [online]. 2012, vol.14, n.2, pp.111-152. ISSN 0719-0646.

In this paper we consider the system of piecewise linear difference equations in the title, where the initial conditions x0 and y0 are real numbers. We show that there exists a unique equilibrium solution and exactly two prime period-3 solutions, and that except for the unique equilibrium solution, every solution of the system is eventually one of the two prime period-3 solutions.

Palabras clave : Periodic solution; systems of piecewise linear difference equations.

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