Renormalisation scheme for vector fields on T2 with a diophantine frequency

Details Renormalisation scheme for vector fields on T2 with a diophantine frequency Renormalisation scheme for vector fields on T2 with a diophantine frequency

2001-05-09

arxiv.org/abs/math/0105067v2

Mathematics

Dynamical Systems

final version

Scientific paper

10.1088/0951-7715/15/3/308

We construct a rigorous renormalisation scheme for analytic vector fields on
the 2-torus of Poincare type. We show that iterating this procedure there is
convergence to a limit set with a ``Gauss map'' dynamics on it, related to the
continued fraction expansion of the slope of the frequencies. This is valid for
diophantine frequency vectors.

Affiliated with

Also associated with

No associations

Rating

Renormalisation scheme for vector fields on T2 with a diophantine frequency does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Renormalisation scheme for vector fields on T2 with a diophantine frequency, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalisation scheme for vector fields on T2 with a diophantine frequency will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-20226