TY - JOUR
T1 - The Centres of Gravity of Periodic Orbits
AU - Sun , Zhe
AU - Hou , Bingzhe
JO - Communications in Mathematical Research 
VL - 3
SP - 239
EP - 243
PY - 2021
DA - 2021/05
SN - 29
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19007.html
KW - periodic orbit, centre of gravity, anticentered map, tent map.
AB - <p style="text-align: justify;">Let $f : I → I$ be a continuous map. If $P(n, f) = \{x ∈ I; f^n
(x) = x \}$ is a finite set for each $n ∈&nbsp;\boldsymbol{N}$, then there exists an anticentered map topologically
conjugate to $f$, which partially answers a question of Kolyada and Snoha. Specially,
there exists an anticentered map topologically conjugate to the standard tent map.</p>