Bibliograph.
Daten | Avrutin, V.; Schanz, M.: On the scaling Properties of the period-increment Scenario in dynamical Systems.
In: Chaos, Solitons & Fractals. Vol. 11.
Universität Stuttgart, Fakultät Informatik.
S. 1949-1955, englisch.
Science Direct, Januar 2000.
DOI: 10.1016/S0960-0779(99)00071-5.
Artikel in Zeitschrift.
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| CR-Klassif. | G.1.10 (Numerical Analysis Applications)
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| Keywords | scaling constants, non-smooth maps |
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| Kurzfassung | Two one-dimensional dynamical systems discrete in time are presented, where the variation of one parameter causes a sequence of bifurcations; at each bifurcation the period increases by a constant value (period-increment scenario, usually denoted as a period-adding scenario). We determine all the bifurcation points and the scaling constants of the period-increment scenario analytically. A re-injection mechanism, leading to the period-increment scenario, is discussed. It will be shown, that in systems with more than one parameter the scaling constants can depend on the values of the parameters
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| Abteilung(en) | Universität Stuttgart, Institut für Parallele und Verteilte Höchstleistungsrechner, Bildverstehen
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| Projekt(e) | AnT
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| Eingabedatum | 1. Dezember 2005 |
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