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The interdependencies between the electroencephalograms of several cortical areas are measured in human adult subjects during different experimental situations by means of methods based on the theory of dynamical systems. Multiple cortical areas are found to be synchronized together while the brain was engaged in higher information processing task. An additional experiment showed that the interhemispheric synchronization between two central derivations significantly increases from awake state to slow wave sleep.The results show that these new approaches succeed in disclosing the distinct connectivity patterns among neuronal assemblies conforming the cortical brain, thus stressing their ability in analyzing the functioning of the brain.