Circle maps and reciprocal winding numbers

B. Söderberg

doi:10.1063/1.527980

Circle maps and reciprocal winding numbers

B. Söderberg

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

A construction that relates circle maps of mutually reciprocal winding number, belonging to the same criticality class, is presented. It is explicitly invariant under smooth conjugations of either map, and displays a series of remarkable properties, in spite of its simplicity.

Original language	English
Pages (from-to)	837-842
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1063/1.527980
Publication status	Published - 1988

Subject classification (UKÄ)

Physical Sciences

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10.1063/1.527980

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title = "Circle maps and reciprocal winding numbers",

abstract = "A construction that relates circle maps of mutually reciprocal winding number, belonging to the same criticality class, is presented. It is explicitly invariant under smooth conjugations of either map, and displays a series of remarkable properties, in spite of its simplicity.",

author = "B. S{\"o}derberg",

year = "1988",

doi = "10.1063/1.527980",

language = "English",

volume = "29",

pages = "837--842",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics (AIP)",

number = "4",

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AU - Söderberg, B.

PY - 1988

Y1 - 1988

N2 - A construction that relates circle maps of mutually reciprocal winding number, belonging to the same criticality class, is presented. It is explicitly invariant under smooth conjugations of either map, and displays a series of remarkable properties, in spite of its simplicity.

AB - A construction that relates circle maps of mutually reciprocal winding number, belonging to the same criticality class, is presented. It is explicitly invariant under smooth conjugations of either map, and displays a series of remarkable properties, in spite of its simplicity.

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DO - 10.1063/1.527980

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SN - 0022-2488

VL - 29

SP - 837

EP - 842

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

ER -

Circle maps and reciprocal winding numbers

Abstract

Subject classification (UKÄ)

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