Non-linear behaviour of human EEG: fractal exponent versus correlation dimension in awake and sleep stages

[1]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[2]  A. Rechtschaffen,et al.  A manual of standardized terminology, technique and scoring system for sleep stages of human subjects , 1968 .

[3]  F. Takens.  Detecting strange attractors in turbulence , 1981 .

[4]  W. Freeman,et al.  Changes in spatial patterns of rabbit olfactory EEG with conditioning to odors. , 1982, Psychophysiology.

[5]  B. Mandelbrot.  Self-Affine Fractals and Fractal Dimension , 1985 .

[6]  A. Babloyantz,et al.  Low-dimensional chaos in an instance of epilepsy. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Theiler,et al.  Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.

[8]  A. Provenzale,et al.  Finite correlation dimension for stochastic systems with power-law spectra , 1989 .

[9]  James Theiler,et al.  Testing for nonlinearity in time series: the method of surrogate data , 1992 .

[10]  J. V. van Beek,et al.  Four methods to estimate the fractal dimension from self-affine signals (medical application) , 1992, IEEE Engineering in Medicine and Biology Magazine.

[11]  Edward Bullmore,et al.  A new technique for fractal analysis applied to human, intracerebrally recorded, ictal electroencephalographic signals , 1992, Neuroscience Letters.

[12]  Albano,et al.  Filtered noise can mimic low-dimensional chaotic attractors. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Richard L. Hughson,et al.  Extracting fractal components from time series , 1993 .

[14]  Theiler,et al.  Generating surrogate data for time series with several simultaneously measured variables. , 1994, Physical review letters.

[15]  Alfonso M Albano,et al.  Phase-randomized surrogates can produce spurious identifications of non-random structure , 1994 .

[16]  Hatsuo Hayashi,et al.  Chaotic responses of the hippocampal CA3 region to a mossy fiber stimulation in vitro , 1995, Brain Research.

[17]  A. Meyer-Lindenberg,et al.  The evolution of complexity in human brain development: an EEG study. , 1996, Electroencephalography and clinical neurophysiology.

[18]  P. Rapp,et al.  Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram. , 1996, Electroencephalography and clinical neurophysiology.

[19]  J. Röschke,et al.  Discrimination of sleep stages: a comparison between spectral and nonlinear EEG measures. , 1996, Electroencephalography and clinical neurophysiology.