TITLE:
On the fractalization of invariant curves

AUTHORS:
Angel Jorba, Joan Carles Tatjer
Departament de Matematica Aplicada i Analisi.
Universitat de Barcelona.
Gran Via 585, 08007, Barcelona, Spain.
E-Mails: angel@maia.ub.es, jcarles@maia.ub.es

ABSTRACT:
Let us consider a smooth discrete dynamical system such that one of
the variables is a one-dimensional angle whose dynamics is a rigid
Diophantine rotation. We assume that the system has an invariant curve
whose rotation number is the rotation angle of the angular variable of
the system. In this note we study the fractalization of the invariant
curve in the context of bifurcation theory.

This is a summary of a talk at the Equadiff meeting held in Hasselt,
Belgium, July 22-26, 2003.