Progress during the past decade in non-linear dynamics and instability theo
ry has provided useful tools for understanding spatio-temporal pattern form
ation. Procedures which apply principle component analysis (using the Karhu
nen-Loeve decomposition technique) to the multichannel electroencephalograp
h (EEG) time series have been developed. This technique shows localized cha
nges of cortical functioning; it identifies increases and decreases of the
activity of localized cortical regions over time while the subject performs
a simple task or test. It can be used to demonstrate the change in cortica
l dynamics in response to a continuous challenge. Using 16 EEG electrodes,
the technique provides spatio-temporal information not obtained with power
spectrum analysis, and includes the weighted information given with omega c
omplexity. As an application, we performed a pattern analysis of sleep-depr
ived human EEG data in 20 healthy young men. Electroencephalograph recordin
gs were performed on subjects for < 2 min, with eyes closed after normal sl
eep and after 24 h of experimentally-induced sleep deprivation. The signifi
cant changes in the eigenvector components indicated the relative changes o
f local activity in the brain with progressive sleep deprivation. A sleep d
eprivation effect was observed, which was hemispherically correlated but wi
th opposite directional dynamics. These changes were seen in the temporo-pa
rietal regions bilaterally. The application of the technique showed that th
e simple test task was performed with a limited unilateral hemispheric invo
lvement at baseline, but needed a much larger cortical participation with d
ecreased frontal activity and increased coherence and bilateral hemispheric
involvement. The calculations performed demonstrated that the same weighte
d changes as those obtained with omega complexity were shown, but the techn
ique had the added advantage of showing the localized directional changes o
f the principle eigenvector at each studied electrode, pointing out the cor
tical localized region affected by the sleep deprivation and toward which d
irection the environmental challenge induced the spatial change. This metho
dology may allow the evaluation of changes in local dynamics in brain activ
ity in normal and pathological conditions.