Characterization of the rotation set and existence of periodic points of endomorphisms of a circle (Q1365710)
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scientific article; zbMATH DE number 1058641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization of the rotation set and existence of periodic points of endomorphisms of a circle |
scientific article; zbMATH DE number 1058641 |
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Characterization of the rotation set and existence of periodic points of endomorphisms of a circle (English)
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7 November 2002
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The author studies the dynamics of maps of the circle to itself. A sufficient condition for a continuously differentiable map with derivative of bounded variation to have a periodic point is proved. The proof uses the rotation set for a degree one map of the circle to itself.
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