Chaotic dynamics for two-dimensional tent maps

被引：14

作者：

Pumarino, Antonio ^{[1
]}

Angel Rodriguez, Jose ^{[1
]}

Carles Tatjer, Joan ^{[2
]}

Vigil, Enrique ^{[1
]}

机构：

[1] Univ Oviedo, Dept Math, E-33007 Oviedo, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada & Anal, E-08080 Barcelona, Spain

来源：

NONLINEARITY | 2015年 / 28卷 / 02期

关键词：

piecewise linear maps; strange attractors; invariant measures; CONTINUOUS INVARIANT-MEASURES; DIFFEOMORPHISMS; ATTRACTORS;

D O I：

10.1088/0951-7715/28/2/407

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a two-dimensional extension of the classical one-dimensional family of tent maps, we prove the existence of an open set of parameters for which the respective transformation presents a strange attractor with two positive Lyapounov exponents. Moreover, periodic orbits are dense on this attractor and the attractor supports a unique ergodic invariant probability measure.

引用

页码：407 / 434

页数：28

共 18 条

[1] Strong statistical stability of non-uniformly expanding maps [J].