systems of biological equations
Springer Online Journal Archives 1860-2000
Abstract The mean geometric frequency f′1 of each EEG wave divides its frequency band B=f2−f1 into subbands b and s. For the β wave the values of s, b, and B are elements of a geometric progression with denominator equal to the invariant F of the golden section. It is postulated that all EEG waves are characterized by an SG system of recurrent equations, obtained by combinatorial generalization of a Fibonacci generating function. Theoretical invariants of the SG system coincide with experimental b/s ratios with a standard error of 1%. The SG system predicts the existence of ρ and σ EEG waves (55–118 and 118–225 Hz), which have not yet been found experimentally.
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