Thick attractors with intermingled basins

Ergodic Theory and Dynamical Systems, vol. 46, pp. 1552–1575

Abstract

Abstract We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop the theory and use it in particular to provide examples of thick metric attractors with intermingled basins.

Authors 2

1. Abbas Fakhari

   Shahid Beheshti University

   Affiliation as printed

   Shahid Beheshti University

2. Ale Jan Homburg corresponding Aachen

   Leiden University · University of Amsterdam

   Affiliation as printed

   Leiden University

   University of Amsterdam