Irrational twist systems for interval maps. (Q595797)
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scientific article; zbMATH DE number 2083984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irrational twist systems for interval maps. |
scientific article; zbMATH DE number 2083984 |
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Irrational twist systems for interval maps. (English)
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6 August 2004
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From the abstract: Let I be a compact real interval and \(f:I\rightarrow I\) continuous. We describe a special infinite minimal subsystem -- we call it irrational twist system -- of the dynamical system \((I,f)\). We show that any twist system has an extremely regular behavior and it can be considered as an interval analogy of the irrational circle rotation.
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interval maps
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minimal subsystem
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twist system
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circle rotation
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