开盖视域下Borel测度的拓扑稳定性和伪轨道跟踪性质

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2023-06-23 DOI:10.1080/14689367.2023.2226384

Shuzhen Hua, Jiandong Yin

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引用次数: 0

摘要

本文从开盖的角度，引入了紧拓扑空间上给定连续映射上Borel测度的拓扑稳定性、扩张性和伪轨道跟踪性的概念，证明了每一个具有伪轨道跟踪性的扩张性Borel测度都是拓扑稳定的。进一步，我们得到了拓扑稳定测度的一些性质。

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 stability and pseudo-orbit tracing property of Borel measures from the viewpoint of open covers

In the paper, we introduce the concepts of topological stability, expansivity and pseudo-orbit tracing property of Borel measures with respect to a given continuous map on a compact topological space from the viewpoint of open covers and prove that every expansive Borel measure with the pseudo-orbit tracing property is topologically stable. Furthermore, we obtain some properties of topologically stable measures.

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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