We present a method for detecting the dimension of a dynamical system encom- passing 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.
Celletti, A., Bajo, V., Villa, A. (1997). Correlation dimension for paired discrete time series. JOURNAL OF STATISTICAL PHYSICS, 89(3-4), 877-884.
Correlation dimension for paired discrete time series
CELLETTI, ALESSANDRA;
1997-01-01
Abstract
We present a method for detecting the dimension of a dynamical system encom- passing 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.File in questo prodotto:
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