This article is cited in 6 papers

Attractor and Repeller Points for a Several-Variable Analytic Dynamical System in a Non-Archimedean Setting

J. Aguayo, M. Saavedra, M. Wallace

Universidad de Concepción

Abstract: We study discrete several-variable analytic dynamical systems over a complete non-Archimedean field with a nontrivial valuation and give sufficient conditions for a fixed point of the system to be an attractor, a repeller, or an indifferent point.

Keywords: $p$-adic numbers, non-Archimedean dynamical system, fixed point, attractor, repeller, Siegel disk.

Received: 29.10.2003

DOI: 10.4213/tmf86

 English version: Theoretical and Mathematical Physics, 2004, 140:2, 1175–1181

Bibliographic databases:

• 
• 
•