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On the Number of Equivalence Classes of Attracting Dynamical Systems
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering.
Department of Mathematics and Science, Blekinge Institute of Technology, Karlskrona, Sweden.
2009 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 1, no 3, p. 264-270Article in journal (Refereed) Published
Abstract [en]

We study discrete dynamical systems of the kind h(x) = x + g(x), where g(x) is a monic irreducible polynomial with coefficients in the ring of integers of a p-adic field K. The dynamical systems of this kind, having attracting fixed points, can in a natural way be divided into equivalence classes, and we investigate whether something can be said about the number of those equivalence classes, for a certain degree of the polynomial g(x).

Place, publisher, year, edition, pages
Moskva: Pleiades Publishing, Inc. , 2009. Vol. 1, no 3, p. 264-270
Keywords [en]
p-adic dynamical systems
National Category
Mathematics Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-5840DOI: 10.1134/S2070046609030054OAI: oai:DiVA.org:vxu-5840DiVA, id: diva2:235873
Available from: 2009-09-18 Created: 2009-09-18 Last updated: 2017-12-13Bibliographically approved

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Svensson, Per-Anders

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  • apa
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  • de-DE
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  • en-US
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  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • text
  • asciidoc
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