Speaker: Bill Kalies
Title: Computational dynamics from a topological point of view
Abstract:
In this talk, we will review some recently developed techniques for computing global dynamics, including changes with respect to parameters, and some applications. The talk will focus on computing recurrence in the iteration of a continuous map by reducing the dynamics to a finite directed graph. Then we give results that allow the information from the reduced system to be lifted back to information about the original map. These methods can identify regions of recurrent and non-recurrent behavior and also provide rigorous computer-assisted proofs of the existence of various types of dynamical structures such as periodic points, connecting orbits, and chaotic behavior.
Last updated at Thursday, 10-Apr-2008 23:47:06 EDT.