General theorem for the existence of iterative roots of homeomorphisms with periodic points

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Solarz, Pawel

关键词: Iteration;    Iterative root;    Periodic point;    Rotation number;    Orientation-preserving mapping;    Unit circle;   

DOI  :  10.1016/j.jmaa.2012.03.048

来源: Elsevier

【 摘 要 】

We apply Zdun's factorization theorem (see Zdun (2008) [3]) to give the conditions for the existence and the form of continuous and orientation-preserving iterative roots of homeomorphisms of the circle with a rational rotation number. Our theorem generalizes the previous results given by Jarczyk (2003) in [2], Zdun (2008) in [3] and Solarz (2003, 2009) in [4] and [5]. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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