Burst suppression patterns in electroencephalograms (EEG's) have been obser
ved in a variety of situations including recovery of a subject from a traum
atic brain injury. They are associated with grave prognostic outcomes in ne
onates, We study power spectral parameters and bispectral parameters of the
EEG at baseline, during early recovery from an asphyxic arrest (EEG burst
patterns) and during late recovery after EEG evolves into a more continuous
activity, The bicoherence indexes, which indicate the degree of phase coup
ling between two frequency components of a signal, are significantly higher
within the delta-theta band of the EEG bursts than in the baseline of late
recovery waveforms, The bispectral parameters show a more detectable trend
than the power spectral parameters. In the second part of the study, we lo
oked into the possibility of higher (>2) -order nonlinearities in the EEG b
ursts using the diagonal slices of the polyspectrum. The diagonal elements
of the polyspectrum reveal the presence of self-frequency and self-phase co
upling of orders higher than two in majority of the EEG bursts studied. The
bicoherence indexes and the diagonal elements of the polyspectrum strongly
indicate the presence of nonlinearities of order two and in many cases hig
her, in the EEG generator during episodes of bursting. This indication of n
onlinearity in EEG signals provides a novel quantitative measure of brain's
response to injury.