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arXiv · 0712.0056

Periodic orbits of period 3 in the disc

Boris Kolev
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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*.

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Boris Kolev. 2007-12-01. Periodic orbits of period 3 in the disc. https://doi.org/10.1088/0951-7715%2F7%2F3%2F016

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