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Periodic attractors of perturbed one-dimensional maps

Published online by Cambridge University Press:  05 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 investigate how many periodic attractors maps in a small neighbourhood of a given map can have. For this purpose we develop new tools which help to make uniform cross-ratio distortion estimates in a neighbourhood of a map with degenerate critical points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 5 , October 2013 , pp. 1519 - 1541
Copyright
© Cambridge University Press, 2013 

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