Article in Journal ART-2008-02

BibliographyAvrutin, Viktor; Schanz, Michael: On the fully developed bandcount adding scenario.
In: Nonlinearity. Vol. 21.
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 1077-1103, english.
IOP Publishing, April 2008.
DOI: 10.1088/0951-7715/21/5/010.
Article in Journal.
CR-SchemaJ.2 (Physical Sciences and Engineering)
Keywordsrobust chaos, bandcount adding, crises bifurcations, piecewise linear discontinuous maps
Abstract

In this paper we report a new bifurcation phenomenon induced by interior crises, which explains the structure of multi-band chaotic attractors in the case of a piecewise-linear discontinuous map. This phenomenon, denoted as a fully developed bandcount adding scenario, leads to a self-similar structure of the chaotic region in parameter space.

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 dateApril 30, 2008
   Publ. Institute   Publ. Computer Science