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典型文献
On the Eventual Shadowing Property and Eventually Shadowable Point of Set-valued Dynamical Systems
文献摘要:
The authors introduce the concepts of the eventual shadowing property and eventually shadowable point for set-valued dynamical systems and prove that a set-valued dynamical system has the eventual shadowing property if and only if every point in the phase space is eventually shadowable;every chain transitive set-valued dynamical system has either the eventual shadowing property or no eventually shadowable points;and a set-valued dynamical system admits an eventually shadowable point if and only if it admits a minimal eventually shadowable point.Moreover,it is proved that a set-valued dynamical system with the eventual shadowing property is chain mixing if and only if it is mixing and if and only if it has the specification property.
文献关键词:
作者姓名:
Xue Rong XIE;Jian Dong YIN
作者机构:
Department of Mathematics,Nanchang University,Nanchang 330031,P.R.China
引用格式:
[1]Xue Rong XIE;Jian Dong YIN-.On the Eventual Shadowing Property and Eventually Shadowable Point of Set-valued Dynamical Systems)[J].数学学报(英文版),2022(06):1105-1115
A类:
Eventual,Shadowable,shadowable
B类:
On,Shadowing,Property,Eventually,Point,Set,valued,Dynamical,Systems,authors,introduce,concepts,shadowing,property,eventually,set,dynamical,systems,that,only,every,phase,space,is,chain,transitive,either,no,points,admits,minimal,Moreover,proved,mixing,specification
AB值:
0.301387
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