Molnár M, Skinner J E
Institute for Psychology, Hungarian Academy of Sciences, Budapest.
Acta Biochim Biophys Hung. 1991;26(1-4):121-5.
The mathematical tools of chaos theory make the quantification of a time series such as the electroencephalogram possible by calculating its correlation dimensions. In this study, the electroencephalogram was recorded from the vertex in cats during the wakefulness-sleep cycle and its correlation dimension was determined. For the estimation of the correlation dimension a new method, the point-correlation dimension was used. This method is more accurate than others currently used for tracking non-stationarities within the data. The point-correlation dimension was higher during the alert state than in slow wave sleep. It is suggested that during the alert state a different type of pacemaker activity takes over in the generation of the electroencephalogram.
混沌理论的数学工具通过计算时间序列(如脑电图)的关联维数,使其量化成为可能。在本研究中,记录了猫在清醒 - 睡眠周期中头顶部位的脑电图,并确定了其关联维数。为了估计关联维数,使用了一种新方法——点关联维数。该方法比目前用于追踪数据中非平稳性的其他方法更准确。警觉状态下的点关联维数高于慢波睡眠时的。这表明在警觉状态下,脑电图的产生由不同类型的起搏器活动接管。