Bibliograph.
Daten | Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: On detection of multi-band chaotic attractors.
In: Proceedings of the Royal Society A. Vol. 463(2081).
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik.
S. 1339-1358, englisch.
The Royal Society, März 2007.
DOI: 10.1098/rspa.2007.1826.
Artikel in Zeitschrift.
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| CR-Klassif. | G.1.0 (Numerical Analysis General)
G.4 (Mathematical Software)
J.2 (Physical Sciences and Engineering)
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| Keywords | multi-band chaotic attractors; discontinuous maps; bandcount adding |
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| Kurzfassung | In this work we present two numerical methods for the detection of the number of bands of a multi-band chaotic attractor. The first method is more efficient but can be applied only for dynamical systems with a continuous system function, whereas the second one is applicable for dynamical systems with a discontinuous system function as well. Using the developed methods, we investigate a 1D piecewise-linear map and report for both cases of a continuous and a discontinuous system function some new bifurcation scenarios involving multi-band chaotic attractors.
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| Copyright | The Royal Society |
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| Kontakt | Michael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de |
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| Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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| Projekt(e) | AnT
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| Eingabedatum | 20. März 2007 |
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