Thick attractors with intermingled basins
arXiv:2408.00339 · doi:10.1017/etds.2026.10272
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 theory for it and use it in particular to provide examples of thick metric attractors with intermingled basins.
24 pages