ABC (Adventures in Bifurcations and Chaos): A program for studying chaos
type: Item
instance of: scholarly article
title: ABC (Adventures in Bifurcations and Chaos): A program for studying chaos
zbMATH Open document ID: 0835.34041
DOI: 10.1016/0016-0032(94)90084-1
published in: Journal of the Franklin Institute
publication date: 1996-04-15T00:00:00Z
review text: A software (called ABC) and its documentation is presented to compute and to visualize trajectories of Chua's circuit (a 3D-autonomous system). The study of chaos is limited to the numerical computation of trajectories by a Runge-Kutta method (without stepsize control) for certain parameters for which chaotic behavior is reported. Additional, equilibria and their eigenvalues and eigenvectors can be computed also. The software includes an extensive database of sets of initial conditions and parameters which produce interesting dynamical behavior. No comparison with other existing software packages is given.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 94C05
Mathematics Subject Classification ID: 68U20
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 807341
zbMATH Keywords: Chua's circuit
zbMATH Keywords: chaos
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: chaotic behavior
zbMATH Keywords: software packages
author: M. P. Kennedy
reviewed by: Bodo Werner
MaRDI profile type: Publication
full work available at URL: 0016-0032(94)90084-1
OpenAlex ID: W2026300134
cites work: The double scroll family
cites work: Q3768810
cites work: Three steps to chaos. I. Evolution
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description: scientific article; zbMATH DE number 807341