Geometry, Topology and Dynamics Seminar
Sonja Stimac
University of Zagreb and IUPUI
Horseshoe-like maps of plane and symbolic dynamics
Abstract: I will present a possible approach to coding of attractors of horseshoe-like maps of plane (such as the H\'enon and Lozi maps). I will also discuss
some techniques which can be used if an attractor is characterized by an appropriate countable collection of sequences of 0s and 1s (which play role
of ``kneading sequences'' of ``critical points''). I will show necessary and sufficient conditions for a sequence of 0s and 1s to be an itinerary
of a point which belongs to the unstable manifold of a fixed point.
Monday October 27, 2014 at 3:00 PM in SEO 636