Renormalization of diffeomorphisms of the circle and scaling of ``Arnold tongues'' (Q1916672)
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scientific article; zbMATH DE number 898976
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Renormalization of diffeomorphisms of the circle and scaling of ``Arnold tongues'' |
scientific article; zbMATH DE number 898976 |
Statements
Renormalization of diffeomorphisms of the circle and scaling of ``Arnold tongues'' (English)
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25 May 1997
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``The aim of this paper is to present some results related to the scaling problem for `Arnold tongues' that was stated in [\textit{V. I. Arnol'd}, Am. Math. Soc., Transl., II. Ser. 46, 213-284 (1965); translation from Izv. Akad. Nauk. SSSR, Ser. Mat. 25, 21-86 (1961; Zbl 0135.42603)]. The results are obtained via an approach based on renormalization.'' The paper is written in a very compact form. Proofs are outlined or omitted.
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diffeomorphisms of the circle
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Arnold tongues
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renormalization
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