On the boundaries of the Arnold tongues

Orateur: Kuntal Banerjee
Localisation: Université Paris-Est - Créteil, France
Type: Séminaire COOL
Site: Hors LAMA , IHP
Salle: 5
Date de début: 28/06/2013 - 10:30
Date de fin: 28/06/2013 - 10:30

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.