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On Hyperbolic Fixed Points in Ultrametric Dynamics
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics. (Mathematical modelling)ORCID iD: 0000-0002-7825-4428
Michigan State University.
2010 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, Vol. 2, no 3, 232-240 p.Article in journal (Refereed) Published
Abstract [en]

Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series over K near hyperbolic fixed points. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. In particular, at repelling fixed points, the linearization disc is equal to the maximal disc on which the power series is injective.

Place, publisher, year, edition, pages
Pleiades Publishing, Ltd , 2010. Vol. 2, no 3, 232-240 p.
Keyword [en]
dynamical system, linearization, conjugacy, ultrametric field
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-7587DOI: 10.1134/S2070046610030052OAI: oai:DiVA.org:lnu-7587DiVA: diva2:344778
Projects
Mathematical modelling, Linnaeus University
Available from: 2010-08-20 Created: 2010-08-20 Last updated: 2014-02-20Bibliographically approved

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Lindahl, Karl-Olof
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CiteExportLink to record
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