Characteristic nonlinearities of the 3/s ictal electroencephalogram identified by nonlinear autoregressive analysis

• Akaike H (1974) A new look at statistical model identification. IEEE Trans Auto Control AC-19:716–723

  Google Scholar 

• Babloyantz A, Destexhe A (1986) Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 83:1313–1317

  Google Scholar 

• Casdagli M, Des Jardins D, Eubank S, Farmer JD, Gibson J, Hunter N, Theiler J (1991) Nonlinear modeling of chaotic time series: theory and applications. (Los Alamos preprint: LA-UR-91–1637) Los Alamos National Laboratory, Los Alamos

  Google Scholar 

• Ebersole JS (1987) Physiological substrates of normal and abnormal EEG activity. In: State of the science in clinical EEG and electroencephalography. American Electroencephalographic Society

• Elul R (1969) Gaussian behavior of the electroencephalogram: changes during the performance of a mental task. Science 164:328–331

  Google Scholar 

• Farmer JD, Ott E, Yorke JA (1983) The dimension of chaotic attractors. Physica 7D:153–180

  Google Scholar 

• Feigenbaum M (1983) Universal behavior in nonlinear systems. Physica 7D:16–39

  Google Scholar 

• Gersh W, Yonemoto J (1977) Parametric time series models for multivariate EEG analysis. Comp Biomed Res 10:113–125

  Google Scholar 

• Korenberg MJ (1987) Functional expansions, parallel cascades, and nonlinear difference equations. In: Marmarelis VZ (ed) Advanced methods of physiological system modelling. University of Southern California, Los Angeles

  Google Scholar 

• Korenberg MJ (1988) Identifying nonlinear difference equations and functional expansion representations: the fast orthogonal algorithm. Ann Biomed Eng 16:123–142

  Google Scholar 

• Lopes da Silva FH (1982) Computer-assisted EEG diagnosis: pattern recognition in EEG analysis, feature extraction and classification. In: Niedermeyer E, Lopes da Silva FH (eds) Electroencephalography. Urban and Schwarzenberg, Baltimore, pp 713–732

  Google Scholar 

• Mayer-Kress G (1987) Application of dimension algorithms to experimental chaos. (Los Alamos preprint LA-UR-87–1030) Los Alamos National Laboratory, Los Alamos

  Google Scholar 

• Neidermeyer E (1983) Epileptic seizure disorders. In: Niedermeyer E, Lopes da Silva FH (eds) Electroencephalography Urban and Schwarzenberg, Baltimore, pp 339–428

• Prince DA (1978) Neurophysiology of epilepsy. Annu Rev Neurosci 1:395–415

  Google Scholar 

• Siegel A (1981) Stochastic aspects of the generation of the electroencephalogram. J Theor Biol 92:317–339

  Google Scholar 

• Theiler J, Galdrikian B, Longtin A, Farmer JD (1991) Testing for nonlinearity in time series: the method of surrogate data. (Los Alamos National Laboratory Preprint LA-UR-91–3343) Los Alamos National Laboratory, Los Alamos

  Google Scholar 

• Victor JD, Canel A (1992) A relation between the Akaike criterion and reliability of parameter estimates, with application to nonlinear autoregressive modelling the ictal EEG. Ann Biomed 20:167–180

  Google Scholar 

• Wilson HR, Cowan JD (1972) A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13:55–80

  Google Scholar 

• Wright JJ, Kydd RR, Sergejew AA (1990) Autoregression models of the EEG. Biol Cybern 62:201–210

  Google Scholar 

• Yule GU (1927) On a method of investigating periodicities in disturbed series with special reference to Wolfer's sunspot numbers. Philos Trans R Soc Lond A 226:267–298

  Google Scholar 

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