Bibliography | Avrutin, Viktor; Schanz, Michael; Schenke, Björn: Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios. In: Discrete Dynamics in Nature and Society. Vol. 2011(Article ID 681565). University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. pp. 1-30, english. Online (Hindawi Publishing Corporation), January 2011. DOI: 10.1155/2011/681565. Article in Journal.
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CR-Schema | J.2 (Physical Sciences and Engineering) G.2 (Discrete Mathematics)
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Abstract | We investigate the structure of the chaotic domain of a specific one-dimensional piecewise linear map with one discontinuity. In this system, the region of “robust" chaos is embedded between two periodic domains. One of them is organized by the period-adding scenario whereas the other one by the period-increment scenario with coexisting attractors. In the chaotic domain, the influence of both adjacent periodic domains leads to the coexistence of the recently discovered bandcount adding and bandcount-increment scenarios. In this work, we focus on the explanation of the overall structure of the chaotic domain and a description of the bandcount adding and bandcount increment scenarios.
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Full text and other links | Online
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Contact | E-Mail: Bjoern.Schenke@ipvs.uni-stuttgart.de |
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 25, 2011 |
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