On a class of rational p-adic dynamical systems

Murod Khamraev, Farrukh Mukhamedov

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

In this paper we investigate the behavior of trajectories of one class of rational p-adic dynamical systems in complex p-adic field ℂp. We studied Siegel disks and attractors of such dynamical systems. We found the basin of the attractor of the system. It is proved that such dynamical systems are not ergodic on a unit sphere with respect to the Haar measure.

Original languageEnglish
Pages (from-to)76-89
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume315
Issue number1
DOIs
Publication statusPublished - Mar 1 2006
Externally publishedYes

Keywords

  • Attractors
  • Complex p-adic field
  • Ergodicity
  • Rational dynamics
  • Siegel disk

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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