## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- Electronic Research Announcements
- Conference Publications
- AIMS Mathematics

DCDS

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.

DCDS

Let $f$ be a continuous map from the unit interval to itself.
In this paper,
we investigate the structure of space $Z$
which is constructed corresponding to the behaviors of $f$ and a periodic orbit $P$ of $f$.
Under some restriction of $f$,
we get necessary and sufficient conditions for $Z$ being the universal dendrite.
Furthermore
$Z$ is classified into five types
especially when it is a tree.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]