Artikel in Zeitschrift ART-2008-04

Bibliograph.
Daten
Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. I. Basic structures.
In: Proceedings of the Royal Society A. Vol. 464(2095).
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik.
S. 1867-1883, englisch.
Royal Society Publishing, 8. Juli 2008.
DOI: 10.1098/rspa.2007.0226.
Artikel in Zeitschrift.
CR-Klassif.G.1.0 (Numerical Analysis General)
J.2 (Physical Sciences and Engineering)
Keywordsmulti-band chaotic attractors; discontinuous maps; bandcount increment; bandcount adding; bandcount doubling
Kurzfassung

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
KontaktMichael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de
Abteilung(en)Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
Projekt(e)AnT
Eingabedatum9. Mai 2008
   Publ. Institut   Publ. Informatik