研究论文
Periodic shadowing and standard shadowing property
Ali Darabi, Abdol-Mohammad Forouzanfar
Shahid Chamran University of Ahvaz
来源Asian-European Journal of Mathematics
年份2016
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摘要与影响
摘要 · 完整
In this paper we study the periodic shadowing property and show that expansive dynamical systems that have the pseudo-orbit tracing property (POTP) also have the periodic shadowing. In addition, the convers is proved for chain transitive systems.
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学术脉络
学科主题
计算机 / AIMathematical Dynamics and Fractals
Quantum chaos and dynamical systems · Cellular Automata and Applications
参考文献 11
Periodic shadowing and Ω-stability
被引 23Alexander V. Osipov, Sergei Yu. Pilyugin, Sergey B. Tikhomirov · Regular and Chaotic Dynamics · 2010
Various shadowing properties and their equivalence
被引 68Keonhee Lee, Kazuhiro Sakai · Discrete and Continuous Dynamical Systems · 2005
Various shadowing properties for positively expansive maps
被引 85Kazuhiro Sakai · Topology and its Applications · 2003
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引用本文 9
Asymptotic expansivity
被引 7K. Lee, Carlos Arnoldo Morales, Helmuth Villavicencio · Journal of Mathematical Analysis and Applications · 2021
Periodic shadowing in iterated function systems
被引 2Ali Darabi · Asian-European Journal of Mathematics · 2021
On periodic shadowing, transitivity, chain mixing and expansivity in uniform dynamical systems
被引 2Khundrakpam Binod Mangang, Sonika Akoijam · Gulf Journal of Mathematics · 2020
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