非一致扩张映射上的d 跟踪性质

The $d$-Shadowing Property on Nonuniformly Expanding Maps

中文关键词:  非一致扩张映射  $d$-跟踪性质  拓扑传递

英文关键词:nonuniformly expanding map  $d$-shadowing property  topological transitivity

中文摘要:

      本文主要证明了具有$d(\underline {d}$或$\bar{d}$-跟踪性质的非一致扩张系统是拓扑传递的.

英文摘要:

      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.