Article in Journal ART-2011-09

BibliographyAvrutin, 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.
CR-SchemaJ.2 (Physical Sciences and Engineering)
G.2 (Discrete Mathematics)
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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ContactE-Mail: Bjoern.Schenke@ipvs.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT, OCiND
Entry dateMay 25, 2011
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