| Bibliography | Avrutin, Viktor; Schanz, Michael; Schenke, Björn: Floating regions within robust chaos.
In: Proceedings of the 2009 International Workshop on Nonlinear Maps and their Applications (NOMA'09).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 67-71, english.
University of Urbino, INSA Toulouse, Tokushima University, September 2009.
Article in Proceedings (Conference Paper).
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| CR-Schema | J.2 (Physical Sciences and Engineering)
G.2 (Discrete Mathematics)
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| Keywords | Crisis bifurcations; Piecewise-smooth maps; Piecewise-linear maps |
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| Abstract | When dealing with piecewise-smooth systems, the chaotic domain is often robust, that means does not contain any periodic inclusions. Recently, the bifurcation structures in the robust chaotic domain of 1D piecewise-linear maps was investigated. It was shown that several regions of multi-band chaotic attractors emerge at the boundary between the periodic and the chaotic domain, forming complex self-similar bifurcation structures. However, some multi-band regions were observed also far away from this boundary. In this work we consider the question how these regions emerge and how they become disconnected from the boundary.
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| Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
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| Project(s) | AnT, OCiND
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| Entry date | May 5, 2010 |
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