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On the Evidence for Low-Dimensional Chaos in an Epileptic Electroencephalogram

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  • James Theiler

Abstract

A variant of the method of surrogate data is applied to a single time series from an electroencephalogram (EEG) recording of a patient undergoing an epileptic seizure. The time series is a nearly periodic pattern of spike-and-wave complexes. The surrogate data sets are generated by shuffling the individual spike-and wave cycles, and correspond to a null hypothesis that there is no deterministic structure in the cycle-to-cycle variability of the original data. Using estimates of autocorrelation, correlation dimension, and Lyapunov exponent as discriminating statistics, the evidence for dynamical correlations between successive spike-and-wave patterns is evaluated both formally and informally.

Suggested Citation

  • James Theiler, 1994. "On the Evidence for Low-Dimensional Chaos in an Epileptic Electroencephalogram," Working Papers 94-11-057, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:94-11-057
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    Cited by:

    1. Baysal, Veli & Yılmaz, Ergin, 2021. "Chaotic Signal Induced Delay Decay in Hodgkin-Huxley Neuron," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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