A full family of multimodal maps on the circle

We exhibit a family of trigonometric polynomials inducing a family of 2m-multimodal maps on the circle which contains all relevant dynamical behavior.

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 31; no. 5; pp. 1325 - 1344
Main Authors MELO, WELINGTON DE, SALOMÃO, PEDRO A. S., VARGAS, EDSON
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.10.2011
Subjects
Dynamical systems
Ergodic processes
Polynomials
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Summary:We exhibit a family of trigonometric polynomials inducing a family of 2m-multimodal maps on the circle which contains all relevant dynamical behavior.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385710000386