Chaotic algorithms: A numerical exploration of the dynamics of a stiff photoconductor model
type: Item
instance of: scholarly article
title: Chaotic algorithms: A numerical exploration of the dynamics of a stiff photoconductor model
zbMATH Open document ID: 0873.65072
author: Alicia Serfaty de Markus
published in: Journal of Computational Physics
publication date: 1997-07-20T00:00:00Z
review text: The author discusses the results of a numerical exploration of a stiff system of differential equations which describes the dynamics of photoconductive processes in a semiconductor. On the contrary to the implicit Gear scheme the Runge-Kutta iteration may induce numerically the observed chaotic transient and the reverse bifurcation process; this may be achieved as a result of the discretization specific for standard algorithms.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E13
zbMATH DE Number: 1019310
zbMATH Keywords: stiff system
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: multistep Gear method
zbMATH Keywords: reverse period doubling process
zbMATH Keywords: chaotic transient
zbMATH Keywords: semiconductor
zbMATH Keywords: reverse bifurcation
reviewed by: S. Yanchuk
MaRDI profile type: Publication
full work available at URL: jcph.1996.5619
OpenAlex ID: W2085204452
cites work: Q4040287
cites work: Q3135098
cites work: On Homoclinic Structure and Numerically Induced Chaos for the Nonlinear Schrödinger Equation
cites work: Q1181869
cites work: Antimonotonicity: Concurrent creation and annihilation of periodic orbits
DOI: 10.1006/JCPH.1996.5619
description: scientific article; zbMATH DE number 1019310