| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 455 0 |
 SM ISO690:2012GUTSU, Valeriu. Sums of convex compacta as attractors of hyperbolic IFS’s. In: Topological Methods in Nonlinear Analysis, 2019, nr. 2(54), pp. 967-978. ISSN 1230-3429. DOI: https://doi.org/10.12775/TMNA.2019.097 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Topological Methods in Nonlinear Analysis |
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| Numărul 2(54) / 2019 / ISSN 1230-3429 | ||||||
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| DOI:https://doi.org/10.12775/TMNA.2019.097 | ||||||
| Pag. 967-978 | ||||||
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| Rezumat | ||||||
We prove that a finite union of convex compacta in ℝn may be represented as the attractor of a hyperbolic IFS. If such a union is the condensation set for some hyperbolic IFS with condensation, then its attractor can be represented as the attractor of a standard hyperbolic IFS. We illustrate this result with the hyperbolic IFS with condensation, whose attractor is the well-known “The Pythagoras tree” fractal. |
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| Cuvinte-cheie Attractor, Convex set, Iterated function system, Pythagoras tree |
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