Example of order and disorder: \(x_{n+1}=(Ax_ n+B)\,mod\,C\)
type: Item
instance of: scholarly article
title: Example of order and disorder: \(x_{n+1}=(Ax_ n+B)\,mod\,C\)
zbMATH Open document ID: 0659.58025
DOI: 10.1007/BF00672049
author: Marek Wolf
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: In this paper a discrete semidynamical system with finite ``phase space'' is investigated. Let a, b, c be natural numbers and S denotes the complete residue system modulo c. Let us consider the map f: \(S\to S\) defined by the relation \(f(x)=(ax+b) mod c.\) The periodic and aperiodic behavior of the orbits \(\{f^ n(x)\}^{\infty}_{n=0}\) is studied in dependence on the parameters a, b, c.
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 11A07
zbMATH DE Number: 4078310
zbMATH Keywords: fixed point
zbMATH Keywords: attractor
zbMATH Keywords: diophantine equations
reviewed by: A. Klíč
MaRDI profile type: Publication
cites work: Was ist Mathematik?
cites work: Q3259971
cites work: Q3935355
cites work: Regular and stochastic motion
full work available at URL: https://doi.org/10.1007/bf00672049
OpenAlex ID: W2005433635
description: scientific article; zbMATH DE number 4078310