The Centres of Gravity of Periodic Orbits

The Centres of Gravity of Periodic Orbits

Year:    2013

Author:    Zhe Sun, Bingzhe Hou

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19007

Communications in Mathematical Research , Vol. 29 (2013), Iss. 3 : pp. 239–243

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    periodic orbit centre of gravity anticentered map tent map.

Author Details

Zhe Sun

Bingzhe Hou