PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Anatole Katok.

Title:Generating symbolic dynamics for nonhyperbolic dynamical systems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:David Richeson, Dickinson
Abstract:
We introduce index systems, a tool for studying isolated invariant sets of dynamical systems that are not necessarily hyperbolic. The mapping of the index systems mimics the expansion and contraction of hyperbolic maps on the tangent space and they may be used like Markov partitions to generate symbolic dynamics. Every continuous dynamical system satisfying a weak form of expansiveness possesses an index system. However, because they may have nontrivial intersections, itineraries are not necessarily unique; thus we must look at the symbolic dynamics in a new way. Because of their topological robustness, index systems can be used to obtain rigorous results from computer approximations of a dynamical system. (This is joint work with Jim Wiseman and Fabio Drucker.)

Room Reservation Information

Room Number:MB106
Date:09 / 20 / 2010
Time:03:30pm - 05:30pm