Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897540 | Physica D: Nonlinear Phenomena | 2006 | 14 Pages |
Abstract
In this paper we present a numerical method to compute Diophantine rotation numbers of circle maps with high accuracy. We mainly focus on analytic circle diffeomorphisms, but the method also works in the case of (enough) finite differentiability. The keystone of the method is that, under these conditions, the map is conjugate to a rigid rotation of the circle. Moreover, although it is not fully justified by our construction, the method turns out to be quite efficient for computing rational rotation numbers. We discuss the method through several numerical examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tere M. Seara, Jordi Villanueva,