Monotone periodic orbits for torus homeomorphisms

Details Monotone periodic orbits for torus homeomorphisms Monotone periodic orbits for torus homeomorphisms

2005-04-13

arxiv.org/abs/math/0504279v1

Mathematics

Dynamical Systems

10 pages, 1 figure

Scientific paper

Let f be a homeomorphism of the torus isotopic to the identity and suppose
that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q),
then f has a topologically monotone periodic orbit with the same rotation
vector.

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