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ELECTRICAL AND MAGNETIC NEURAL ACTIVITY

Low-Dimensional Chaos in Event-Related Brain Potentials

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Pages 263-276 | Received 05 Mar 1992, Published online: 23 Apr 2019

REFERENCES

  • Albano, A. M., Abraham, N. B., Guzman de, G. C., Tarropja, M. F. H., Bandy, D. K., Gioggia, R. S., Rapp, P. E., Zimmerman, I. D., Greenbaun, N. N. and Bashore, T. R. (1986). Lasers and brains: complex systems with low-dimensional attractors. In G. Mayer-Kress (Ed.), Dimensions and entropies in chaotic systems (pp. 231–240). Berlin: Spinger.
  • Babloyantz, A. (1985). Strange attractors in the dynamics of brain activity. In H. Haken (Ed.), Complex Systems—operational approaches in neurobiology, physics, and computers (pp. 116–122). Berlin: Springer.
  • Babloyantz, A. (1986). Evidence of chaotic dynamics of brain activity during the sleep cycle. In G. Mayer-Kress (Ed.), Dimensions and entropies in chaotic systems (pp. 241–245). Berlin: Springer.
  • Babloyantz, A. & Destexhe, A. (1986). Low-dimensional chaos in an instance of epilepsy. Proceedings of the National Academy of Sciences, USA, 83, 3513–3517.
  • Babloyantz, A. (1988). Is the normal heart a periodic oscillator? Biological Cybernetics, 58, 203–211.
  • Babloyantz, A. (1990). Chaotic dynamics in brain activity. In: E. Basar, (Ed.), Chaos in brain function (pp. 42–48.). Berlin: Springer.
  • Cacace, A. T., Satya-Murti, S. & Wolpaw, J. R. (1990). Human middle-latency auditory evoked potentials: vertex and temporal components. Electroencephalography and clinical Neurophysiology, 77, 6–18.
  • Desmedt, J. E. & Tomberg, C. (1989). Mapping early somatosensory evoked potentials in selective attention: critical evaluation of control conditions used for titrating by difference the cognitive P30, P40, P100 and N140. Electroencephalography and clinical Neurophysiology, 74, 321–346.
  • Ditto, W. L., Rauseo, S. N. & Spano, M. L. (1990). Experimental control of chaos. Physical Review Letters, 65, 3211–3214.
  • Donchin, E., Karis, D., Bashore, T. R., Coles, M. G. H. & Gratton, G. Cognitive psychophysiology and human information processing (1986) In M. G. H. Coles, E. Donchin & S. Porges (Eds.), Psychophysiolog: systems, processes and applications, (pp. 244–267). New York: Guildford Press.
  • Donchin, E., Ritter, W. & McCallum, W. C. (1978). Cognitive psychophysiology: The endogenous components of the ERP. In E. Callaway, P. Tueting and S. H. Koslow, (Eds.), Event-related potentials in man. (pp. 349–412). New York: Academic Press.
  • Elbert, T. & Rockstroh, B. (1987). Threshold regulation - a key to the understanding of the combined dynamics of EEG and event-related potentials. Journal of Psychophysiology, 4, 317–333.
  • Farmer, J. D., Ott, E. & Yorke, J. A. (1983). Dimension of chaotic attractors. Physica, 7D, 153–180.
  • Freeman, W. & Skarda, C. A. (1985). Spatial EEG-patterns, non-linear dynamics and perception: the neo-Sherringtonian view. Brain Research Reviews, 10, 147–175.
  • Graf, K. E. & Elbert, T. (1990). Dimensional analysis of the waking EEG. In E. Basar (Ed.), Chaos in brain function, (pp. 135–152). Berlin: Springer.
  • Grassberger, P. & Procaccia, I. (1983). Characterization of strange attractors. Physical Review Letters, 50(5), 346–349.
  • Gray, C. M., Konig, P., Engel, A. K. & Singer, W. (1989). Oscillatory response in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature, 338, 334–337.
  • Gray, C. M. & Singer, W. (1989). Stimulus specific neuronal oscillations in orientation columns of cat visual cortex. Proceedings of the National Academy of Sciences, USA, 86, 1968–1702.
  • Haken, H. (1983). Advanced synergetics. Berlin: Springer.
  • Karmos, G., Molnar, M. & Csepe, V. (1986). Intracortical profiles of evoked potential components related to behavioural activation in cats In W. C. McCallum, R. Zappoli & F. Denoth (Eds.), Cerebral psychophysiology: studies in event-related Potentials, (pp. 555–557). EEG Suppl. 38. Amsterdam: Elsevier Science Publishers B. V.
  • Mandelbrot, B. B. (1983). The fractal geometry of nature. New York: Freeman and Co.
  • Mayer-Kress, G., Yates, F. E., Benton, L., Keidel, M., Tirsch, W., Poppl, S. J. & Geist, K. (1988). Dimensional analysis of non-linear oscillations in brain, heart and muscle. Mathematical Biosciences, 90, 155–182.
  • Molnar, M., Karmos, G., Csepe, V. & Winkler, I. (1988). Intracortical auditory evoked potentials during classical aversive conditioning in cats. Biological Psychology, 26, 339–350.
  • Naatanen, R. (1987). Event-related potentials in research of cognitive processes a classification of components. In E. van der Meer, J. Hoffmann (Eds.), Knowledge aided information processing (pp. 241–273). Amsterdam: Elsevier.
  • Ott, E., Grebogi, C. & Yorke, J. A. (1990) Controlling chaos. In D. K. Campbell (Ed.), Chaos (pp. 153–172). New York: American Institute of Physics.
  • Packard, N. H., Crutchfield, J. P., Farmer, J. D. & Shaw, R. S. (1980) Geometry from a time series. Physical Review Letters. 45, 712–716.
  • Rapp, P. E., Bashore, T. R., Martineire, J. M., Albano, A. M., Zimmerman, I. D. & Mees, A. I. (1989). Dynamics of brain electrical activity. Brain Topography, 2, 99–118.
  • Rapp, P. E., Bashore, T. R., Zimmerman, I. D., Martinerie, J. M., Albano, A. M. & Mees, A. I. (1990). Dynamical characterization of brain electrical activity. In S. Krasner (Ed.), The ubiquity of chaos (pp. 10–22). American Association for the Advancement of Sciences, Washington, DC.
  • Roschke, J. & Basar, E. (1990). The EEG is not a simple noise: strange attractors in intracranial structures. In E. Basar (Ed.), Chaos in brain function (pp. 49–62). Berlin: Springer.
  • Skinner, J. E., Goldberger, A. L., Mayer-Kress, G. & Ideker, R. E. (1990a). Chaos in the heart: implications for clinical cardiology. Biotechnology, 8, 1018–1024.
  • Skinner, J. E., Martin, J. L., Landisman, C. E., Mommer, M. M., Fulton, K., Mitra, M., Burton, W. D. & Saltzberg, B. (1990b). Chaotic attractors in a model of neocortex: dimensionalities of olfactory bulb surface potentials are spatially uniform and event related. In E. Basar (Ed.), Chaos in brain function (pp. 119–134). Berlin: Springer.
  • Skinner, J. E., Carpeggiani, C., Landisman, C. E. & Fulton, K. W. (1991a). The correlation-dimension of the heartbeat is reduced by myocardial ischemia in conscious pigs. Circulation Research, 68, 966–976.
  • Skinner, J. E., Mitra, M. & Fulton, K. (1991b). Low-dimensional chaos in a simple biological model of neocortex: implications for cardiovascular and cognitive disorders. In J. G. Carlson & A R. Seifert (Eds.), An international perspective on self-regulation and health (pp. 95–117). New York: Plenum.
  • Schuster, H. G. (1988). Deterministic chaos. VCH. Weinheim.
  • Takens, F. (1981). Detecting strange attractors in turbulance. Lecture Notes in Mathematics, 898, 366–381.
  • Takens, F. (1985). On the numerical determination of the dimension of an attractor. Lecture Notes in Mathematics, 1125, 99–106.
  • Theiler, J. (1988). Quantifying chaos: practical estimation of the correlation dimension. Thesis. California Institute of Technology, Pasadena, California. 1988.
  • Vaughan, H. G. & Arezzo, J. C. (1988). The neural basis of event-related potentials. In T. W. Picton, (Ed.), Human event-related potentials, (pp. 45–96). EEG Handbook Revised Series, Vol. 3. Amsterdam: Elsevier Science Publishers B. V.
  • Wilson, D. A. & Leon, M. (1988). Spatial patterns of olfactory bulb single-unit responses to learned olfactory cues in young rats. Journal of Neurophysiology, 59, 1770–1782.
  • Wood, C. C., McCarthy, G., Squires, N. K., Vaughan, H. G., Woods, D. L. & McCallum, W. C. (1984). Anatomical and physiological substrates of event-related potentials. In R. Karrer & P. Tueting (Eds.), Brain and information: event-related potentials, (pp. 681–721). Annals of the New York Academy of Sciences, Vol. 425. New York: New York Academy of Sciences.

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