非双曲动力系统不规则集的拓扑熵和Hausdorff维数

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-03-20 DOI:10.1080/14689367.2022.2031890

Pablo G. Barrientos, Yushi Nakano, Artem Raibekas, M. Roldán

引用次数: 3

摘要

我们系统地研究了具有满拓扑熵和满豪斯多夫维数的不规则集的非双曲动力系统的例子。例子包括部分双曲系统和几何洛伦兹流。我们也为未来的研究提出了有趣的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences