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.
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CR-Klassif. | G.1.0 (Numerical Analysis General) J.2 (Physical Sciences and Engineering)
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Keywords | multi-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.
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Copyright | The Royal Society |
Kontakt | Michael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de |
Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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Projekt(e) | AnT
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Eingabedatum | 9. Mai 2008 |
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