Mathematics Seminar (14 April)

[math]

MATHEMATICS SEMINARS 2010


Wednesday, 14 April, at 14:30


Dr. Kuntal Banerjee
(ICTP)


"Circle Homeomorphisms and Arnold Tongues"

Abstract:
For an increasing homeomorphism F of the real line such that F-Id is of
period 1, the average amount by which every point is
translated under the map is given by the translation number.
Similarly for an orientation preserving circle homeomorphism f the
average angle by which every point on the circle is rotated is given
by the rotation number.
One can study the parameter space of certain family of circle maps
using the translation and rotation numbers. In this talk the structure 
of the "Arnold tongues" for a certain family of circle maps is discussed.


Venue: Luigi Stasi Seminar Room (ICTP Leonardo Building, first floor)