Rotational entropy for annulus homeomorphisms (Q916177)
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scientific article; zbMATH DE number 4153528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rotational entropy for annulus homeomorphisms |
scientific article; zbMATH DE number 4153528 |
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Rotational entropy for annulus homeomorphisms (English)
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1991
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We study admissible rotational behaviors of the orbits of annulus homeomorphisms, isotopic to the identity. Namely, we introduce a topological invariant, designated ``rotational entropy'', that quantifies the rotational complexity of a given mapping. The main result in the paper establishes that: Any annulus homeomorphism, isotopic to the identity, with finitely many periods has zero rotational entropy.
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annulus homeomorphism
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rotational entropy
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