Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

被引：2

作者：

Barrientos, Pablo G. ^{[1
]}

Nakano, Yushi ^{[2
]}

Raibekas, Artem ^{[1
]}

Roldan, Mario ^{[3
]}

机构：

[1] Univ Fed Fluminense, Inst Math & Stat, Niteroi, RJ, Brazil

[2] Tokai Univ, Dept Math, Hiratsuka, Kanagawa, Japan

[3] Univ Fed Santa Catarina, Dept Matemat, Campus Univ Trindade, Florianopolis, SC, Brazil

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2022年 / 37卷 / 02期

关键词：

Irregular set; topological entropy; Hausdorff dimension; non-hyperbolic systems; PARTIALLY HYPERBOLIC DIFFEOMORPHISMS; CENTRAL DIRECTION; SRB MEASURES; MAPS; SPECIFICATION; PRESSURE; HORSESHOES; CONTINUITY; SPECTRA; POINTS;

D O I：

10.1080/14689367.2022.2031890

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We systematically investigate examples of non-hyperbolic dynamical systems having irregular sets of full topological entropy and full Hausdorff dimension. The examples include some partially hyperbolic systems and geometric Lorenz flows. We also pose interesting questions for future research.

引用

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页码：181 / 210

页数：30

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