## 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.