Bibliography | Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: The bandcount increment scenario. I. Basic structures. In: Proceedings of the Royal Society A. Vol. 464(2095). University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. pp. 1867-1883, english. Royal Society Publishing, July 8, 2008. DOI: 10.1098/rspa.2007.0226. Article in Journal.
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CR-Schema | 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 |
Abstract | 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 |
Contact | Michael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de |
Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
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Project(s) | AnT
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Entry date | May 9, 2008 |
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