Advanced Search
Article Contents
Article Contents

The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval

Abstract Related Papers Cited by
  • Let $f$ be a continuous map from the unit interval to itself. In this paper, it is shown that $f$ has positive topological entropy if and only if $f$ is pointwise $P$-expansive for some periodic orbit $P$ of $f$. And it is also proved that if $f$ has a periodic orbit with odd period, then there exists a chaotic map from a dendrite to itself in the sense of Devaney which is semiconjugate to $f$ and has positive topological entropy.
    Mathematics Subject Classification: 54H20, 37B40, 37E05, 54F50.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(71) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint