Average shadowing and gluing property

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2023-02-06 DOI:10.1112/mtk.12187

Michael Blank

引用次数: 4

Abstract

The purpose of this work is threefold: (i) extend shadowing theory for discontinuous and non-invertible systems, (ii) consider more general classes of perturbations (for example, small only on average), (iii) establish a general theory based on the property that the shadowing holds for the case of a single perturbation. The “gluing” construction used in the analysis of the last property turns out to be the key point of this theory.

查看原文本刊更多论文

平均阴影和粘合性能

这项工作的目的有三个:(i)扩展不连续和不可逆系统的阴影理论，(ii)考虑更一般的扰动类别(例如，仅平均较小)，(iii)基于单个扰动情况下阴影的性质建立一般理论。最后性质分析中使用的“粘接”结构是这一理论的关键点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.