Volume 29, Issue 3
The Centres of Gravity of Periodic Orbits

Commun. Math. Res., 29 (2013), pp. 239-243.

Published online: 2021-05

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• Abstract

Let $f : I → I$ be a continuous map. If $P(n, f) = \{x ∈ I; f^n (x) = x \}$ is a finite set for each $n ∈ \boldsymbol{N}$, 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.

• Keywords

periodic orbit, centre of gravity, anticentered map, tent map.

37E05

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@Article{CMR-29-239, author = {Zhe and Sun and and 18959 and and Zhe Sun and Bingzhe and Hou and and 18960 and and Bingzhe Hou}, title = {The Centres of Gravity of Periodic Orbits}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {3}, pages = {239--243}, abstract = {

Let $f : I → I$ be a continuous map. If $P(n, f) = \{x ∈ I; f^n (x) = x \}$ is a finite set for each $n ∈ \boldsymbol{N}$, 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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19007.html} }
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 -

Let $f : I → I$ be a continuous map. If $P(n, f) = \{x ∈ I; f^n (x) = x \}$ is a finite set for each $n ∈ \boldsymbol{N}$, 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.

Zhe Sun & Bingzhe Hou. (2021). The Centres of Gravity of Periodic Orbits. Communications in Mathematical Research . 29 (3). 239-243. doi:
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