The $d$-Shadowing Property on Nonuniformly Expanding Maps
Received:November 24, 2016  Revised:June 12, 2017
Key Word: nonuniformly expanding map   $d$-shadowing property   topological transitivity
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11501391) and the Scientific Research Project of Sichuan University of Science and Engineering (Grant No.2014RC02).
 Author Name Affiliation Cuina MA School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan 611731, P. R. China Peiyong ZHU School of Mathematical Sciences, University of Electronic Science and Technology of China, Sichuan 611731, P. R. China Tianxiu LU Department of Mathematics, Sichuan University of Science and Engineering, Sichuan 643000, P. R. China
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In this paper, it is proved that a nonuniformly expanding map $f$ having the $\underline{d}$-shadowing property or $\overline{d}$-shadowing property is topologically transitive.