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References
Babloyantz A, Destexhe A (1986) Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA 83:3513–3517
Babloyantz A, Salazar JM, Nicolis C (1985) Evidence of chaotic dynamics of brain activity during the sleep cycle. Phys Lett 111 A 3: 152–156
Ben-Mizrachi A, Procaccia I, Grassberger P (1984) Characterization of experimental (noisy) strange attractors. Phys Rev A29:975–977
Farmer JD, Ott E, Yorke JA (1983) The dimension of chaotic attractors. Physica 7D: 153–180
Freeman WJ (1987) Analytic techniques used in the search for the physiological basis of the EEG. In: Gevins AS, Rémond A (eds) Methods of analysis of brain electrical and magnetic signals, EEG Handbook. Elsevier, New York, pp 583–664
Freeman WJ, Viana di Prisco G (1986) EEG spatial pattern differences with discriminated odors manifest chaotic and limit cycle attractors in olfactory bulb of rabbits. In: Palm C, Aertsen A (eds) Brain theory. Springer, Berlin Heidelberg New York, pp 97–119
Froehling H, Crutchfield JP, Farmer JD, Packard NH, Shaw R (1981) On determining the dimension of chaotic flows. Physics 3D: 605–617
Gevins AS (1984) Analysis of the electromagnetic signals of the human brain: milestones, obstacles, and goals. IEEE Trans BME-31 12:833–850
Grassberger P, Procaccia I (1983a) Characterization of strange attractor. Phys Rev Lett 50:346–349
Grassberger P, Procaccia I (1983b) Estimation of the Kolmogorov entropy from a chaotic signals. Phys Rev A28:2591–2593
Grassberger P, Procaccia I (1983c) Measuring the strangeness of strange attractors. Physica 9D: 189–208
Grebogi C, Ott E, Yorke JA (1987) Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. Science238:632–638
Jansen BH, Bourne JR, Ward JW (1981) Autoregressive estimation of short segment spectra for computerized EEG analysis. IEEE Trans BME-28:630–638
Kay SM (1988) Modern spectral estimation: theory and application. Prentice Hall, Englewood Cliffs NJ
Koles ZJ, Kasmia A, Paranjape RB, McLean DR (1989)Computed radial current topography of the brain: patterns associated with the normal and abnormal EEG. Electroencephalogy Clin Neurophysiol 72:41–47
Mayer-Kress G, Layne SP (1987a) Dimensionality of the human electroencephalogram. Ann NY Acad Sci 504:62–87
Mayer-Kress G, Layne SP (1987b) Analysis of the human electroencephalogram with methods from nonlinear dynamics. In: Rensing L, Van der Heiden, Mackey MC (eds) Temporal disorder in human oscillatory systems. Springer, Berlin Heidelberg New York, pp 57–68
Parker TS, Chua LO (1987) Chaos: a turotial for engineers. IEEE Spect 75:982–1008
Skarda CA, Freeman WJ (1987) How brains make chaos in order to make sense of the world. Behav Brain Sci 10:161–195
Takens F (1981) Detecting strange attractors in turbulence. In: Rand DA, Young LS (eds) Lectures Notes in Mathematics, Vol 898. Dynamical systems of turbulence, Warwick 1980. Springer, Berlin Heidelberg New York, pp 366–381
Wolf A, Swift JB, Swinney HL, Vastano JA (1985). Determining Lyapunov exponents from a time-series. Physica 16D: 285–317
Yamada T, Fujisaka H (1978) A coupled oscillatory-reaction system exhibiting bifurcation scheme leading to a chaos. Prog Theor Phys [Suppl] 64:269–279
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Soong, A.C.K., Stuart, C.I.J.M. Evidence of chaotic dynamics underlying the human alpha-rhythm electroencephalogram. Biol. Cybern. 62, 55–62 (1989). https://doi.org/10.1007/BF00217660
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DOI: https://doi.org/10.1007/BF00217660