作为动力系统空间结构性质的阴影

Discrete & Continuous Dynamical Systems - S Pub Date : 2021-06-03 DOI:10.3934/dcds.2021197

J. Meddaugh

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引用次数: 2

摘要

我们证明了存在一大类紧度量空间，其阴影性质可以表征为动力系统空间的结构性质。我们还证明，对于这类空间，为了确定系统是否有阴影，只要检查连续生成的伪轨道是否可以被阴影就足够了。

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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Shadowing as a structural property of the space of dynamical systems

We demonstrate that there is a large class of compact metric spaces for which the shadowing property can be characterized as a structural property of the space of dynamical systems. We also demonstrate that, for this class of spaces, in order to determine whether a system has shadowing, it is sufficient to check that continuously generated pseudo-orbits can be shadowed.

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Discrete & Continuous Dynamical Systems - S

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