SPECIFICATION

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On the Eventual Shadowing Property and Eventually Shadowable Point of Set-valued Dynamical Systems被引量：1
《Acta Mathematica Sinica,English Series》2022年第6期1105-1115,共11页Xue Rong XIE Jian Dong YIN 
Supported by the National Natural Science Foundation of China(Grant Nos.12061043,11661054,11261039)。
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 i...
关键词：Eventual shadowing property eventually shadowable point set-valued dynamical system SPECIFICATION 
On the Shadowing Property and Shadowable Point of Set-valued Dynamical Systems被引量：4
《Acta Mathematica Sinica,English Series》2020年第12期1384-1394,共11页Xiao Fang LUO Xiao Xiao NIE Jian Dong YIN 
Supported by the National Natural Science Foundation of China(Grant Nos.11661054,11261039)。
In this article,the authors introduce the concept of shadowable points for set-valued dynamical systems,the pointwise version of the shadowing property,and prove that a set-valued dynamical system has the shadowing pr...
关键词：Shadowing property shadowable point set-valued dynamical system SPECIFICATION 
Recurrence of Transitive Points in Dynamical Systems with the Specification Property被引量：2
《Acta Mathematica Sinica,English Series》2018年第12期1879-1891,共13页Xiao Yi WANG Yu HUANG 
Supported by National Natural Science Foundation of China,Tian Yuan Special Foundation(Grant No.11426198);the Natural Science Foundation of Guangdong Province,China(Grant No.2015A030310166)
Let T ： X →X be a continuous map of a compact metric space X. A point x E X is called Banach recurrent point if for all neighborhood V of x, （n ∈ N ： T^n（x） ∈ V} has positive upper Banach density. Denote by Tr...
关键词：Specification property invariant measures recurrent points measure center 
Periodic Number for Anosov Maps被引量：5
《Acta Mathematica Sinica,English Series》1997年第2期169-174,共6页Sun Wenxiang (Department of Computer Science,Zhongshan University,Guangzhou 510275,China) 
Let X be a compact metric space and let f:X→X be an Anosov map,i.e.,an expansive selfmap with the pseudoorbit tracing property(abbr.POTP)(see Lemma 1).If Nn(f) denotes the number of fixed points of f^n which we name ...
关键词：Specification property POTP Anosov map 
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