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A full family of multimodal maps on the circle

Published online by Cambridge University Press:  20 July 2010

WELINGTON DE MELO ,
PEDRO A. S. SALOMÃO  and
EDSON VARGAS
WELINGTON DE MELO
Affiliation:
Associação Instituto Nacional de Matemática Pura e Aplicada – Est. Da Castorina 110, Rio de Janeiro, RJ, Cep: 22460-320, Brazil (email: [email protected])
PEDRO A. S. SALOMÃO
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão 1010, São Paulo, SP, Cep: 05508-090, Brazil (email: [email protected], [email protected])
EDSON VARGAS
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, R. do Matão 1010, São Paulo, SP, Cep: 05508-090, Brazil (email: [email protected], [email protected])
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Abstract

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

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 5 , October 2011 , pp. 1325 - 1344
Copyright
Copyright © Cambridge University Press 2010

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