Minimal dynamics for tree maps

被引：0

作者：

Alseda, Lluis ^{[1
]}

Juher, David ^{[2
]}

Mumbru, Pere

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08913, Spain

[2] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17071, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2008年 / 20卷 / 03期

关键词：

tree maps; minimal dynamics;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that, given a tree pattern P, the set of periods of a minimal representative f: T -> T of P is contained in the set of periods of any other representative. This statement is an immediate corollary of the following stronger result: there is a period-preserving injection from the set of periodic points of f into that of any other representative of P. We prove this result by extending the main theorem of [ ] to negative cycles.

引用

页码：511 / 541

页数：31