A+ CATEGORY SCIENTIFIC UNIT

Kneading sequences for double standard maps

Volume 206 / 2009

Michael Benedicks, Ana Rodrigues Fundamenta Mathematicae 206 (2009), 61-75 MSC: Primary 37E10. DOI: 10.4064/fm206-0-5

Abstract

We investigate the symbolic dynamics for the double standard maps of the circle onto itself, given by $f_{a,b}(x)=2x+a+(b/\pi)\sin(2\pi x)\ {\rm (mod~1)}$, where $b=1$ and $a$ is a real parameter, $0 \leq a <1$.

Authors

  • Michael BenedicksMatematiska Institutionen
    KTH
    S-100 44 Stockholm, Sweden
    e-mail
  • Ana RodriguesDepartment of Mathematical Sciences
    IUPUI
    402 N. Blackford Street
    Indianapolis, IN 46202-3216, U.S.A.
    and
    CMUP, Rua do Campo Alegre, 687
    4169-007 Porto, Portugal
    e-mail

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