The measures of shadowable pseudo-orbits
The measures of shadowable pseudo-orbits
复制标题
可遮蔽伪轨道的测量
DOI：
10.1080/14689367.2019.1703907
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
K. Sakai and N. Sumi
中科院分区：
文献类型：
--
作者：
K. Moriyasu;K. Sakai and N. Sumi;K. Sakai and N. Sumi
设f是紧度量空间中的连续映射。在Moriyasu et al. [具有可遮蔽测度的同构，公理7（4）（2018），第93页。在https：//doi.org/10.3390/axioms7040093]中引入了ff的可阴影测度的概念，研究了允许可阴影测度的动力系统的性质.本文在伪轨空间上引入了一种概率测度，并在f有可遮蔽测度和f无可遮蔽测度的情况下，对可遮蔽伪轨集进行了测度.
Letfbe a continuous map of a compact metric space. In Moriyasu et al. [Diffeomorphisms with shadowable measures, Axioms 7(4) (2018), p. 93. Available at https://doi.org/10.3390/axioms7040093], the notion of shadowable measures forfis introduced, and the property of dynamical systems admitting shadowable measures is studied. In this paper, we introduce a probability measure on the space of pseudo-orbits and measure the set of shadowable pseudo-orbits both of the casesfhas a shadowable measure andfdoes not have a shadowable measure.