CORRELATION DIMENSION FOR PAIRED DISCRETE-TIME SERIES

Authors
CELLETTI A LORENZANA VMB VILLA AEP
Citation
A. Celletti et al., CORRELATION DIMENSION FOR PAIRED DISCRETE-TIME SERIES, Journal of statistical physics, 89(3-4), 1997, pp. 877-884
Citations number
17
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
89
Issue
3-4
Year of publication
1997
Pages
877 - 884
Database
ISI
SICI code
0022-4715(1997)89:3-4<877:CDFPDS>2.0.ZU;2-V
Abstract
We present a method for detecting the dimension of a dynamical system encompassing simultaneously two distinct discrete time series. This me thod is an extension of the technique introduced by Grassberger and Pr ocaccia for single time series and allows to evaluate the common corre lation dimension of the chaotic attractor. The method is applied to so me mathematical models and to multiple single-neuron spike trains.