Article ID Journal Published Year Pages File Type
4661406 Topology and its Applications 2006 8 Pages PDF
Abstract

We obtain two sufficient conditions for an interval self-map to have a chaotic set with positive Hausdorff dimension. Furthermore, we point out that for any interval Lipschitz maps with positive topological entropy there is a chaotic set with positive Hausdorff dimension.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology