Limit sets of S-unimodal maps with zero entropy (Q579702)
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scientific article; zbMATH DE number 4015764
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit sets of S-unimodal maps with zero entropy |
scientific article; zbMATH DE number 4015764 |
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Limit sets of S-unimodal maps with zero entropy (English)
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1987
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One-dimensional mappings ``at the limit of period doubling'' are studied in this paper without the use of the renormalization theory of Feigenbaum and others. The principal result is that the attracting part of the nonwandering set is a Cantor set of measure zero under the additional assumption that the map has negative Schwarzian negative.
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period doubling
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renormalization theory of Feigenbaum
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nonwandering set
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Schwarzian negative
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