Abstract
The geometric mean frequency of any EEG wave divides its frequency band B into sub-bands b and s. For the wave beta the values s, b and B are the subsequent elements of the geometric progression with denominator equals to the invariant of the gold section. A hypothesis was proposed that all the EEG waves were described by the system SG of the recurrence equations. This system was derived by the generalization of the Fibonacci generating function. Theoretical invariants Ilambda of the system and experimental ratios b/s were found to coincide with the quadratic mean error equals to 1%. The system SG predicts the existence of the EEG waves, rho and sigma (55-118, 118-225 cycles per sec.), which have not yet been discovered experimentally.
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