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Cyclicity in families of circle maps

Published online by Cambridge University Press:  03 June 2013

O. KOZLOVSKI
O. KOZLOVSKI*
Affiliation:
Mathematics Institute, University of Warwick, UK email [email protected]
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Abstract

In this paper we will study families of circle maps of the form $x\mapsto x+ 2\pi r+ af(x)({\rm mod} \hspace{0.334em} 2\pi )$ and investigate how many periodic trajectories maps from this family can have for a ‘typical’ function $f$ provided the parameter $a$ is small.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 5 , October 2013 , pp. 1502 - 1518
Copyright
© Cambridge University Press, 2013 

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