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The size of quadratic p-adic linearization disks
Universidad de Santiago de Chile. (Mathematical modelling)ORCID iD: 0000-0002-7825-4428
2013 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 248, 872-894 p.Article in journal (Refereed) Published
Abstract [en]

We find the exact radius of linearization disks at indifferentfixed points ofquadratic maps in Cp. We also show thatthe radius is invariant under power series perturbations.Localizing all periodic orbits of these quadratic-like maps wethen show that periodic points are not the only obstruction for linearization. In so doing, we provide the first known examples in the dynamics ofpolynomials over Cp where the boundary of the linearization disk does not contain any periodic point.

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 248, 872-894 p.
Keyword [en]
Small divisors, Linearization, p-adic numbers, Ramification, Periodic points
National Category
Other Mathematics Mathematics
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-27414OAI: oai:DiVA.org:lnu-27414DiVA: diva2:635531
Projects
Mathematical Modelling, Dynamical systems
Available from: 2013-07-04 Created: 2013-07-04 Last updated: 2014-02-20Bibliographically approved

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Lindahl, Karl-Olof
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CiteExportLink to record
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Citation style
  • apa
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