Shadowing with chain transitivity

Dawoud Ahmadi Dastjerdi; Maryam Hosseini

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Shadowing with chain transitivity

机译：带链传递的阴影

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摘要

A transitive dynamical system is either sensitive or has a dense set of equicontinuity points [E. Akin, J. Auslander, K. Berg, When is a transitive map chaotic, in: Convergence in Ergodic Theory and Probability, Walter de Gruyter & Co., 1996, pp. 25-40]. We show that if a chain transitive system has shadowing property then it is either sensitive or all points are equicontinuous.

机译：传递动力学系统是敏感的或具有密集的等连续点集[E. Akin，J. Auslander，K. Berg，《何时是一个传递图混沌》，载于：《遍历理论和概率的融合》，Walter de Gruyter＆Co.，1996，第25-40页。我们证明，如果链传递系统具有遮蔽属性，那么它要么是敏感的，要么所有点都是等连续的。

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来源
《Topology and its applications》 |2009年第13期|2193-2195|共3页
作者
Dawoud Ahmadi Dastjerdi; Maryam Hosseini;
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作者单位

Department of Mathematics, The University of Guilan, Rasht, Iran;

Department of Mathematics, The University of Guilan, Rasht, Iran;

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原文格式 PDF
正文语种 eng
中图分类
关键词
chain transitivity; chain recurrent; shadowing; distal;

机译：链传递性连锁经常性阴影远端的;

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7. Orbital shadowing property on chain transitive sets for generic diffeomorphisms [O] . Manseob Lee 2020

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8. A Transitive-Chain Theory of Syllogistic Reasoning. [R] . Guyote, M. J., Sternberg, R. J. 1978

机译：三段论推理的传递链理论。

Shadowing with chain transitivity

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