Iterative systems of real Möbius transformations

Petr Kůrka

doi:10.3934/dcds.2009.25.567

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2009, Volume 25, Issue 2: 567-574. Doi: 10.3934/dcds.2009.25.567

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Iterative systems of real Möbius transformations

Petr Kůrka^1,

1.
Center for Theoretical Study, Academy of Sciences and Charles University in Prague, Jilská 1, CZ-11000 Praha 1

Received: September 30, 2008

Revised: January 31, 2009

Published: May 2009

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Abstract

We investigate iterative systems consisting of Möbius transformations on the extended real line. We characterize systems with unique attractor and give some sufficient conditions for minimality.

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Mathematics Subject Classification: Primary: 54H20; Secondary: 37F30.

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