Dynamics of a rational system of difference equations in the plane
Autor: | Ignacio Bajo, Juan Perán, Daniel Franco |
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Jazyk: | angličtina |
Rok vydání: | 2011 |
Předmět: |
1206.12 Ecuaciones Diferenciales Ordinarias
Algebra and Number Theory Independent equation lcsh:Mathematics Applied Mathematics 39A22 39A23 39A30 Mathematical analysis Finite difference Dynamical Systems (math.DS) Delay differential equation Phase plane lcsh:QA1-939 Method of matched asymptotic expansions Euler equations Nonlinear system symbols.namesake Simultaneous equations 1206.02 Ecuaciones Diferenciales FOS: Mathematics symbols Mathematics - Dynamical Systems Analysis Mathematics |
Zdroj: | Advances in Difference Equations, Vol 2011, Iss 1, p 958602 (2011) Advances in Difference Equations, Vol 2011 (2011) Investigo. Repositorio Institucional de la Universidade de Vigo Universidade de Vigo (UVigo) |
Popis: | 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. |
Databáze: | OpenAIRE |
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