Bibliography | Avrutin, Viktor; Schanz, Michael: Crises cascades within robust chaos in piecewise-smooth maps. In: Proceedings of the 6th EUROMECH Nonlinear Dynamics Conference. University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. pp. 1-6, english. European Mechanics Society, July 2008. Article in Proceedings (Conference Paper).
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Corporation | ENOC 2008 |
CR-Schema | J.2 (Physical Sciences and Engineering)
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Keywords | crises bifurcations; multi-band chaotic attractors; bandcount adding scenario |
Abstract | This article describes a novel bifurcation phenomenon occurring in the 2D parameter space of piecewise-linear maps. In the region of chaotic behavior we detect an infinite number of interior crises bounding the regions of multi-band attractors. This phenomenon, denoted as bandcount adding scenario, leads to a self-similar structure of the chaotic region in the parameter space.
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Copyright | European Mechanics 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 | July 23, 2008 |
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