Pierre Berger
Laboratoire Analyse, Géométrie & Applications, Université Paris 13

Abstract: In this talk we will show that the finiteness of the number of attractor is not typical in the sens of Kolmogorov. Moreover, we will show the existence of an open set of surface map U in which typically in the sens of Kolmogorov-Arnold, the dynamics displays infinitely many attractors. This means that for a Cr- generic family (fa)a of maps fa in U, for every small parameter a, the dynamics fa displays infinitely many sinks. A part of this work is in collaboration with S. Crovisier et E. Pujals.

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.