Dynamics of a Rational System of Difference Equations in the Plane

被引：11

作者：

Bajo, Ignacio ^{[2
]}

Franco, Daniel ^{[1
]}

Peran, Juan ^{[1
]}

机构：

[1] UNED, ETSI Ind, Dept Matemat Aplicada, Madrid 28040, Spain

[2] Univ Vigo, ETSE Telecomunicac, Dept Matemat Aplicada, Vigo 36310, Spain

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Asymptotic Behavior;

D O I：

10.1155/2011/958602

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：17

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