Characterizing the basins with the most entangled boundaries

  title={Characterizing the basins with the most entangled boundaries},
  author={Helena E. Nusse and J. A. Yorke},
In dynamical systems examples are common in which two or more attractors coexist and in such cases the basin boundary is non-empty. The purpose of this paper is to describe the structure and properties of basins and their boundaries for two-dimensional diffeomorphisms. If a two-dimensional basin has a basin cell (a trapping region whose boundary consists of pieces of the stable and unstable manifolds of a well-chosen periodic orbit), then the basin consists of a central body (the basin cell… CONTINUE READING