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arXiv:0712.0056 [math.DS]AbstractReferencesReviewsResources

Periodic orbits of period 3 in the disc

Boris Kolev

Published 2007-12-01Version 1

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*.

Comments: 7 pages
Journal: Nonlinearity 7 (1994) 1067-1071
Categories: math.DS
Subjects: 54H20, 58F13, 34C35
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