Bibliography | Eckstein, Bernd: Bandcounter: Counting Bands of Multiband Chaotic Attractors. University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology, Student Thesis No. 2047 (2006). 72 pages, english.
|
CR-Schema | G.1.7 (Ordinary Differential Equations)
|
Keywords | chaos; attractor; multiband; band; count; bandcounting; bandcount; bandcounter; MBCA; continuous; discontinuous; AnT; ant; 4669; method |
Abstract | 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.
|
Full text and other links | PDF (6873955 Bytes) AnT 4.669 Project Page AnT 4.669 Overview Access to students' publications restricted to the faculty due to current privacy regulations |
Copyright | Bernd Eckstein the sourcecode developed whithin this work is deployed with AnT 4.669 under the GNU General Public License Version 2 |
Contact | Send an e-mail to b_eckstein@gmx.de |
Department(s) | University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
|
Project(s) | AnT 4.669
|
Entry date | September 17, 2006 |
---|