Article in Journal ART-2008-04

BibliographyAvrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. I. Basic structures.
In: Proceedings of the Royal Society A. Vol. 464(2095).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1867-1883, english.
Royal Society Publishing, July 8, 2008.
DOI: 10.1098/rspa.2007.0226.
Article in Journal.
CR-SchemaG.1.0 (Numerical Analysis General)
J.2 (Physical Sciences and Engineering)
Keywordsmulti-band chaotic attractors; discontinuous maps; bandcount increment; bandcount adding; bandcount doubling
Abstract

Bifurcation structures in 2D parameter spaces formed by chaotic attractors only are still far away from being understood completely. In a series of three papers we investigate the chaotic domain without periodic inclusions for a map which is considered by many authors as some kind of 1D canonical form for discontinuous maps. In the first part we report a novel bifurcation scenario formed by crises bifurcations which includes multi-band chaotic attractors with arbitrary high bandcounts and which determines the basic structure of the chaotic domain.

CopyrightThe Royal Society
ContactMichael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT
Entry dateMay 9, 2008
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