PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Manfred Denker, Anna Mazzucato, Mari Royer, Victor Nistor, Alexei Novikov.

Title:On C^1 diffeomorphisms, homoclinic classes and hyperbolic properties
Seminar:Probability and Financial Mathematics Seminar
Speaker:Welington Cordeiro, Fderal University of Rio de Janeiro
Abstract:
The study of homoclinc classes for more general dynamics attracts a lot of attention by many researches. Indeed, it is an important problem to decide if such classes are hyperbolic under certain dynamical assumptions. Actually, there are many satisfactory results about generic tame diffeomorphisms, where all homoclinic classes are isolated. It is natural to study the complementary class, the so called wild diffeomorphisms. In particular, to study non-isolated homoclinic classes. We will discuss properties as expansiveness, shadowing, specification and limit shadowing in homoclinic classes of C^1 generic diffeomorphisms seeking conditions for these classes to be isolated or hyperbolic.

Room Reservation Information

Room Number:MB106
Date:02 / 28 / 2014
Time:03:35pm - 04:35pm