On the chaotic behavior of a generalized logistic p-adic dynamical system

Farrukh Mukhamedov, José F.F. Mendes

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

In the paper we describe basin of attraction p-adic dynamical system G (x) = (a x)2 (x + 1). Moreover, we also describe the Siegel discs of the system, since the structure of the orbits of the system is related to the geometry of the p-adic Siegel discs.

Original languageEnglish
Pages (from-to)125-145
Number of pages21
JournalJournal of Differential Equations
Volume243
Issue number2
DOIs
Publication statusPublished - Dec 15 2007
Externally publishedYes

Keywords

  • Basin of attraction
  • Siegel disc
  • p-Adic dynamics

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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