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Articles

Numerical semigroups and periodic orbits for Markov interval maps

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Pages 1597-1609 | Received 02 Dec 2015, Accepted 17 Jun 2017, Published online: 19 Jul 2017
 

Abstract

Interval maps constitute a very important class of discrete dynamical systems with a well developed theory. Our purpose in this paper is to study a particular class of interval maps for which the set of periods is a numerical semigroup.

AMS Subject Classifications:

Acknowledgements

The authors would like to thank the anonymous referee for her/his accurate reading and their suggestions.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research partially sponsored by national funds through the Fundação Nacional para a Cência e Tecnologia, Portugal-FCT [project number PEst-OE/MAT/UI0117/2014]; CIMA-UE.

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