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Correlation dimension for paired discrete time series - MaRDI portal

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Correlation dimension for paired discrete time series (Q1285146)

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scientific article; zbMATH DE number 1279629
Language Label Description Also known as
English
Correlation dimension for paired discrete time series
scientific article; zbMATH DE number 1279629

    Statements

    Correlation dimension for paired discrete time series (English)
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    31 October 1999
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    We present a method for detecting the dimension of a dynamical system encompassing simultaneously two distinct discrete time series. This method is an extension of the technique introduced by Grassberger and Procaccia for single time series and allows to evaluate the common correlation dimension of the chaotic attractor. The method is applied to some mathematical models and to multiple single-neuron spike trains.
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    chaotic attractors
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    dimension of a dynamical system
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    correlation dimension
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    spike trains
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