| Bibliography | Avrutin, V.; Schanz, M.: On the scaling Properties of the period-increment Scenario in dynamical Systems.
In: Chaos, Solitons & Fractals. Vol. 11.
University of Stuttgart, Faculty of Computer Science.
pp. 1949-1955, english.
Science Direct, January 2000.
DOI: 10.1016/S0960-0779(99)00071-5.
Article in Journal.
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| CR-Schema | G.1.10 (Numerical Analysis Applications)
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| Keywords | scaling constants, non-smooth maps |
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| Abstract | 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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| Department(s) | University of Stuttgart, Institute of Parallel and Distributed High-Performance Systems, Image Understanding
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| Project(s) | AnT
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| Entry date | December 1, 2005 |
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