Bibliography | Avrutin, Viktor; Eckstein, Bernd; Schanz, Michael: On detection of multi-band chaotic attractors. In: Proceedings of the Royal Society A. Vol. 463(2081). University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. pp. 1339-1358, english. The Royal Society, March 2007. DOI: 10.1098/rspa.2007.1826. Article in Journal.
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CR-Schema | 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 |
Abstract | 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 |
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 | March 20, 2007 |
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