We study the geometric and topological properties of strange non-chaotic attractors created in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By interpreting the attractors as limit objects of the iterates of a continuous curve and controlling the geometry of the latter, we determine their Hausdorff and box-counting dimension and show that these take distinct values. Moreover, the same approach allows us to describe the topological structure of the attractors and to prove their minimality.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:70708 |
| Date | 03 June 2020 |
| Creators | Fuhrmann, G., Gröger, M., Jäger, T. |
| Publisher | Cambridge University Press |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, doc-type:article, info:eu-repo/semantics/article, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | 0143-3857, 1469-4417, 10.1017/etds.2017.4, info:eu-repo/grantAgreement/German Research Council/Emmy-Noether-grant/ Ja 1721/2-1//Low-dimensional and Nonautonomous Dynamics, info:eu-repo/grantAgreement/German Research Council/Scientific Network/OE 538/3-1//Skew product dynamics and multifractal analysis |
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