On the influence of noise on the coexistence of chaotic attractors
type: Item
instance of: scholarly article
title: On the influence of noise on the coexistence of chaotic attractors
zbMATH Open document ID: 0960.37010
DOI: 10.1016/S0960-0779(98)00260-4
author: Ioannis Andreadis
author: John Argyris
published in: Chaos, Solitons and Fractals
publication date: 2000-08-09T00:00:00Z
review text: This paper deals with the coexistence of chaotic attractors and is based on a mathematical model obtained by gluing together a Lorenz and a Rössler attractor. For the model under consideration the authors study the influence of noise. In this connection, they present numerical investigations concerning Chua's double scroll attractor. The authors observe that while the strength of the noise remarks small the morphology of the attractor is maintained. On the other hand, when the noise becomes more intense than the morphology changes and there emerges a point attractor.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37H99
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 1486576
zbMATH Keywords: Lorenz attractor
zbMATH Keywords: Rössler attractor
zbMATH Keywords: chaotic attractor
zbMATH Keywords: strength of noise
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: On linearisable noisy systems
cites work: The influence of noise on the correlation dimension of chaotic attractors
cites work: On the influence of noise on the largest Lyapunov exponent and on the geometric structure of attractors
cites work: Q4128737
cites work: Advanced synergetics. Instability hierarchies of self-organizing systems and devices
cites work: Q5527119
cites work: Chua's oscillator: A compendium of chaotic phenomena
cites work: An equation for continuous chaos
cites work: Q4299632
cites work: On the influence of noise on the Bianchi IX and VIII cosmological models
cites work: Q3996709
cites work: Stabilization of Linear Systems by Noise
cites work: Stabilization of Chaotic Orbits by Random Noise
cites work: Noise-Induced Chaos in a System with Homoclinic Points
description: scientific article; zbMATH DE number 1486576