Artikel in Tagungsband INPROC-2009-107

Bibliograph.
Daten
Avrutin, Viktor; Schanz, Michael: Self-similarity of the bandcount adding: calculation by map replacement.
In: University of Urbino, Italy (Hrsg); INSA Toulouse, France (Hrsg); Tokushima University, Japan (Hrsg): Proceedings of the 2009 International Workshop on Nonlinear Maps and their Applications (NOMA'09).
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik.
S. 62-66, englisch.
University of Urbino, INSA Toulouse, Tokushima University, September 2009.
Artikel in Tagungsband (Konferenz-Beitrag).
CR-Klassif.G.1.0 (Numerical Analysis General)
J.2 (Physical Sciences and Engineering)
Keywordsmulti-band chaotic attractors; discontinuous maps; bandcount adding
Kurzfassung

Recently it was demonstrated that the domain of robust chaos close to the periodic domain, which is organized by the period-adding structure, contains an infinite number of interior crisis bifurcation curves. These curves form the so-called bandcount adding scenario, which determines the occurrence of multi-band chaotic attractors. The analytical calculation of the interior crisis bifurcations represents a quite sophisticated task. In this work we demonstrate that, using the map replacement approach, much more bifurcation curves can be calculated. Moreover, using this approach recursively, we confirm the hypothesis regarding the self-similarity of the bandcount adding structure.

Abteilung(en)Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
Projekt(e)AnT
OCiND
Eingabedatum10. Dezember 2009
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