Examples of minimal set for IFSs

Nancy Guelman; Jorge Iglesias; Aldo Portela

doi:10.3934/dcds.2017227

Article Contents

2017, Volume 37, Issue 10: 5253-5269. Doi: 10.3934/dcds.2017227

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Examples of minimal set for IFSs

Universidad de La República. Facultad de Ingenieria. IMERL, Julio Herrera y Reissig 565. C.P. 11300, Montevideo, Uruguay

Received: November 30, 2016

Revised: March 31, 2017

Published: October 2017

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Abstract

We exhibit different examples of minimal sets for an IFS of homeomorphisms with rational rotation number. It is proved that these examples are, from a topological point of view, the unique possible cases.

Keywords:

Iterated function systems,
minimal sets.

Mathematics Subject Classification: Primary: 37B05; Secondary: 37E05, 37E10.

Citation:

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Figure 1.

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Figure 2.

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Figure 3. These figures correspond to example 2.

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Figure 4. This figures correspond to example 3.

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Figure 5. This figure corresponds to example 4.

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Figure 6. These figures correspond to example 5.

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Figure 7. This figure corresponds to example 6.

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Figure 8.

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Figure 9. These figures correspond to example 7.

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