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Chaos and stability in some random dynamical systems (Q2913232)

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scientific article; zbMATH DE number 6086807
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English
Chaos and stability in some random dynamical systems
scientific article; zbMATH DE number 6086807

    Statements

    Chaos and stability in some random dynamical systems (English)
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    26 September 2012
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    nonautonomous discrete systems
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    chaos
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    random perturbations
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    In this interesting paper, the author studies the dynamical behavior of nonautonomous discrete systems generated by randomly perturbed periodic sequences of continuous interval maps. In particular, it is shown that random perturbations of simple deterministic systems may give unpredictable results. The main results are stated by proving that the probability for an orbit to visit a set or a subinterval is one.
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