title: Statistical measures derived from the correlation integrals of physiological time series.
abstract: In this work correlation integrals are used for the analysis of various EEG signals from rabbits in resting states and under the influence of an anesthetic. The comparison with surrogate data reveals nonlinear dynamics in all of the time series. Our attempt to determine the correlation dimension D(2) by the modified algorithm of Theiler [Phys. Rev. A 34, 2427 (1986)] failed since no saturation is reached with increasing embedding dimension. The hypothesis of low-dimensional chaos turns out to be inconsistent with our results, but we can still distinguish, at least qualitatively, between different states of brain dynamics. A quantitative characterization of the time series is possible by defining correlation parameters P(a) derived from correlation integrals reflecting also autocorrelation of the signal. (c) 1996 American Institute of Physics.
authors.affiliation: Institute for Experimental Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, AustriaInstitute for Neuropharmacology, University of Vienna, Wahringerstrasse 13a, A-1090 Vienna, Austria.
authors.forename: D. K.
authors.initials: DK
authors.lastname: Ivanov
authors.forename: H. A.
authors.initials: HA
authors.lastname: Posch
authors.forename: Ch.
authors.initials: C
authors.lastname: Stumpf