Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661406 | Topology and its Applications | 2006 | 8 Pages |
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