Dynamics of a rational system of difference equations in the plane

Bajo Palacio, Ignacio; Franco Leis, Daniel; Perán Mazón, Juan

doi:10.1155/2011/958602

Bajo Palacio, Ignacio

; Franco Leis, Daniel; Perán Mazón, Juan

DATE: 2011-03-17

UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/3335

EDITED VERSION: http://www.advancesindifferenceequations.com/content/2011/1/958602

UNESCO SUBJECT: 1206.12 Ecuaciones Diferenciales Ordinarias ; 1206.02 Ecuaciones Diferenciales

DOCUMENT TYPE: article

ABSTRACT

We consider a rational system of first-order difference equations in the plane with four parameters such that all fractions have a common denominator. We study, for the different values of the parameters, the global and local properties of the system. In particular, we discuss the boundedness and the asymptotic behavior of the solutions, the existence of periodic solutions, and the stability of equilibria.

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