Bibliograph. Daten | Avrutin, Viktor; Schanz, Michael: Period-doubling Scenario without Flip Bifurcations in a one-dimensional Map. In: International Journal of Bifurcation and Chaos. Vol. 15(4). Universität Stuttgart, Fakultät Informatik, Elektrotechnik und Informationstechnik. S. 1267-1284, englisch. World Scientific Publishing Company, April 2005. DOI: 10.1142/S0218127405012752. Artikel in Zeitschrift.
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CR-Klassif. | G.1.10 (Numerical Analysis Applications) J.2 (Physical Sciences and Engineering)
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Keywords | Period-doubling; border collision; piecewise-smooth vector field; kneading orbits |
Kurzfassung | In this work a one-dimensional piecewise-smooth dynamical system, representing a Poincaré return map for dynamical systems of the Lorenz type, is investigated. The system shows a bifurcation scenario similar to the classical period-doubling one, but which is influenced by so-called border collision phenomena and denoted as border collision period-doubling bifurcation scenario. This scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border collision bifurcation and a pitchfork bifurcation. The mechanism leading to this scenario and its characteristic properties, like symmetry-breaking and symmetry-recovering as well as emergence of coexisting attractors, are investigated.
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Copyright | World Scientific Publishing Company |
Kontakt | Michael.Schanz@informatik.uni-stuttgart.de |
Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Systeme, Bildverstehen
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Projekt(e) | AnT
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Eingabedatum | 17. Oktober 2005 |
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