Université Paris-Est Université Paris-Est - Marne-la-Vallée Université Paris-Est - Créteil Val-de-Marne Centre National de la Recherche Scientifique

On the boundaries of the Arnold tongues

Type: 
Type: 
Site: 
Date: 
28/06/2013 - 10:30
Salle: 
05
Orateur: 
Kuntal Banerjee
Localisation: 
Université Paris-Est - Créteil
Localisation: 
France
Résumé: 

If F is an increasing homeomorphism of the real line with the property that F(x+1)=F(x)+1 for any x, then F induces an orientation preserving circle homeomorphism f. The average amount by which each point on the real line is translated under the action of F is called the translation number of F, similarly the average angle by which every point on the circle is rotated by the action of f is called its rotation number. In this talk we study the parameter space of certain two parameter family of analytic circle diffeomorphism with the help of rotation numbers.