Display Abstract

Title Strange attractors and rotational chaos on the 2-torus

Name Jan P Boronski
Country Czech Rep
Email jan.boronski@osu.cz
Co-Author(s) Piotr Oprocha
Submit Time 2014-02-28 07:42:45
Session
Special Session 7: Topological and combinatorial dynamics
Contents
In my talk I shall present a construction of a 2-torus homeomorphism $h$ homotopic to the identity with an attracting R.H. Bing's pseudocircle $C$ such that the rotation set of $h|C$ is not a unique vector. The inverse limit construction provides new examples of strange attractors with rotational chaos, that were first studied by G.D. Birkhoff in 1932. In this context, time permitting, I shall also discuss a result concerning topological entropy of graph maps, that give hereditarily indecomposable inverse limits.