Bibliograph. Daten | Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. II. Interior structures. In: Proceedings of the Royal Society A. Vol. 464(2097). Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 2247-2263, englisch. Royal Society Publishing, 8. September 2008. DOI: 10.1098/rspa.2007.0299. 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 the two-dimensional parameter spaces formed by chaotic attractors alone 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 one-dimensional canonical form for discontinuous maps. In this second part, we investigate fine substructures nested into the basic structures reported and explained in part I. It is demonstrated that the overall structure of the chaotic domain is caused by a complex interaction of bandcount increment, bandcount adding and bandcount doubling structures, whereby some of them are nested into each other ad infinitum leading to self-similar structures in the parameter space.
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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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