Periodic orbits of period 3 in the disc
Dynamical Systems
2007-12-04 v1
Abstract
Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a periodic point of least period n for each n in N*.
Keywords
Cite
@article{arxiv.0712.0056,
title = {Periodic orbits of period 3 in the disc},
author = {Boris Kolev},
journal= {arXiv preprint arXiv:0712.0056},
year = {2007}
}
Comments
7 pages