Global periodicity and openness of the set of solutions for discrete dynamical systems

被引：3

作者：

Rubio-Massegu, J. ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 3, Control Dynam & Applicat Grp CoDALab, Manresa, Spain

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2009年 / 15卷 / 06期

关键词：

discrete dynamical systems; difference equations; existence of solutions; forbidden set; RATIONAL DIFFERENCE-EQUATIONS; EXISTENCE; CONJECTURES;

D O I：

10.1080/10236190802219984

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we find additional conditions to be satisfied by a globally periodic discrete dynamical system, so that its good set (the set of initial conditions providing well-defined solutions) is an open set of R-k or C-k. We will pay especial attention to the rational case and several examples will be given.

引用

页码：569 / 578

页数：10