Sokolov A A, Sokolov Ia A
Biull Eksp Biol Med. 1975 Jul;80(7):11-14.
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.
任何脑电图波的几何平均频率将其频带B划分为子带b和s。对于β波，值s、b和B是几何级数的后续元素，其分母等于黄金分割的不变量。有人提出了一个假设，即所有脑电图波都由递归方程系统SG描述。该系统是通过对斐波那契生成函数的推广而推导出来的。发现该系统的理论不变量Ilambda与实验比率b/s相吻合，二次平均误差等于1%。系统SG预测了尚未通过实验发现的脑电图波ρ和σ（每秒55 - 118、118 - 225个周期）的存在。
