Chaotic sets of shift and weighted shift maps (Q1030110)
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scientific article; zbMATH DE number 5573734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaotic sets of shift and weighted shift maps |
scientific article; zbMATH DE number 5573734 |
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Chaotic sets of shift and weighted shift maps (English)
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1 July 2009
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Chaos in the sense of Li-Yorke and Devaney for shift and weighted shift maps are studied. Li-Yorke chaotic sets are characterized by p-scrambled sets, maximal scrambled sets and orbit invariants. It is proven that weighted shift maps are Li-Yorke chaotic in some cases. Some open problems are registered at the end of the paper.
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Li-Yorke chaotic set
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Devaney chaotic set
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scrambled set
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shift map
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weighted shift map
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