Studienarbeit STUD-2047

Bibliograph.
Daten
Eckstein, Bernd: Bandcounter: Counting Bands of Multiband Chaotic Attractors.
Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik, Studienarbeit Nr. 2047 (2006).
72 Seiten, englisch.
CR-Klassif.G.1.7 (Ordinary Differential Equations)
Keywordschaos; attractor; multiband; band; count; bandcounting; bandcount; bandcounter; MBCA; continuous; discontinuous; AnT; ant; 4669; method
Kurzfassung

In dynamical systems, the asymptotic behavior of periodic attractors is well-investigated. Scenarios like period-adding, period-doubling and more are known. But when it comes to multi-band chaotic attractors (MBCA), only the band-merging-scenario is explored. To find out more about band-related bifurcation scenarios, it is essential to have an investigation method that counts the bands of a MBCA. Goal of this student research project is to add a method to the simulation and analysis tool AnT 4.669 that fulfills this task. This method will be called 'bandcounter'. Two different methods where developed and are described in this paper from a theoretic and an implementation point of view. A validation considering well-known systems is done and finally the method is used to get new, interesting results which are briefly described.

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CopyrightBernd Eckstein the sourcecode developed whithin this work is deployed with AnT 4.669 under the GNU General Public License Version 2
KontaktSend an e-mail to b_eckstein@gmx.de
Abteilung(en)Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
Projekt(e)AnT 4.669
Eingabedatum17. September 2006
   Publ. Informatik