Functional equations for circle homeomorphisms with golden ratio rotation number (Q1073431)
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scientific article; zbMATH DE number 3944918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functional equations for circle homeomorphisms with golden ratio rotation number |
scientific article; zbMATH DE number 3944918 |
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Functional equations for circle homeomorphisms with golden ratio rotation number (English)
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1984
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The investigation of the scaling limit for mappings of the circle to itself with golden ratio rotation number leads to a pair of functional equations with at least a formal resemblance to the functional equation using the accumulation of period-doubling bifurcations. We discuss the general theory of these functional equations, assuming that solutions exist.
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golden-ratio
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rotation number
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functional equation
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renormalization group
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period-doubling bifurcations
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