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
收藏
页码：569 / 578
页数：10
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