Article in Proceedings INPROC-2008-80

BibliographyAvrutin, 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).
CorporationENOC 2008
CR-SchemaJ.2 (Physical Sciences and Engineering)
Keywordscrises 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.

CopyrightEuropean Mechanics Society
ContactMichael.Schanz@informatik.uni-stuttgart.de Viktor.Avrutin@informatik.uni-stuttgart.de
Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT
Entry dateJuly 23, 2008
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