Bibliograph. Daten | Schenke, Björn; Avrutin, Viktor; Schanz, Michael: On a bifurcation structure mimicking period adding. In: Proceedings of the Royal Society A. Vol. 467(2129). Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1503-1518, englisch. London: The Royal Society, 8. Mai 2011. DOI: 10.1098/rspa.2010.0573. Artikel in Zeitschrift.
|
CR-Klassif. | J.2 (Physical Sciences and Engineering) G.2 (Discrete Mathematics)
|
Keywords | piecewise smooth systems; border collision bifurcations; simple limiter control; nested period-incrementing bifurcation scenario |
Kurzfassung | In this work, we investigate a piecewise-linear discontinuous scalar map defined on three partitions. This map is specifically constructed in such a way that it shows a recently discovered bifurcation scenario in its pure form. Owing to its structure on the one hand and the similarities to the nested period-adding scenario on the other hand, we denoted the new bifurcation scenario as nested period-incrementing bifurcation scenario. The new bifurcation scenario occurs in several physical and electronical systems but usually not isolated, which makes the description complicated. By isolating the scenario and using a suitable symbolic description for the asymptotically stable periodic orbits, we derive a set of rules in the space of symbolic sequences that explain the structure of the stable periodic domain in the parameter space entirely. Hence, the presented work is a necessary step for the understanding of the more complicated bifurcation scenarios mentioned above.
|
Volltext und andere Links | Online
|
Kontakt | E-Mail: Bjoern.Schenke@ipvs.uni-stuttgart.de |
Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
|
Projekt(e) | AnT, OCiND
|
Eingabedatum | 25. Mai 2011 |
---|