A note on some iterative roots

Paweł Solarz

Abstract


In this paper some orientation-preserving iterative roots of an orientation-preserving homeomorphism F: S1→ S1 which possess periodic points of order n are considered. Namely, iterative roots with periodic points of order n. All orders of such roots are determined and their general construction is given.

Keywords


iteration, iterative root, periodic point

Mathematics Subject Classification


39B12;26A18

References


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