On chaos of a cubic p-adic dynamical system

Farrukh Mukhamedov, José F.F. Mendes

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

In the paper we describe basin of attraction of the p-adic dynamical system f(x) = x 3 + ax 2. 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
Title of host publicationProgress in Nonlinear Differential Equations and Their Application
PublisherSpringer US
Pages305-315
Number of pages11
DOIs
Publication statusPublished - 2008
Externally publishedYes

Publication series

NameProgress in Nonlinear Differential Equations and Their Application
Volume75
ISSN (Print)1421-1750
ISSN (Electronic)2374-0280

Keywords

  • Attractor
  • P-adic dynamics
  • Siegel disc

ASJC Scopus subject areas

  • Analysis
  • Computational Mechanics
  • Mathematical Physics
  • Control and Optimization
  • Applied Mathematics

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