Collective Modes in Neural Networks

Abstract

A theoretical model, based on response of a neural network to an external stimulus, was constructed to determine its collective modes. It is suggested that the waves observed in EEG records reflect the cooperative electrical activity of a large number of neurons. Further, an actual EEG time series was analyzed to deduce two dynamic parameters, dimension d of phase space of the neural system and the minimum number of variables n_c necessary to describe the EEG pattern. We find d = 6.2 and n_c = 11.

Key Words:

• neural network
• collectivity
• EEG
• chaotic behavior