标题： 脑电图$α$波动力学中的幂律实验证据 显示英文标题

标题： Experimental evidence for a power law in electroencephalographic $α$-wave dynamics

摘要： 我们对人类脑电图信号中出现的$\alpha$波事件的时间行为进行了实验研究。 我们发现，在时间大小为$\tau$的$\alpha$突发中花费的时间比例随着$\tau$的变化表现出标度行为。 相应的指数等于 1.75$\pm$0.13。 因此，我们指出在生理学中存在一种新的幂律。 此外，我们表明，我们的实验结果可能在 Boettcher 和 Paczuski 最近提出的自组织临界（SOC）模型类别中得到可能的解释。 特别是，其中一个模型在适当重新解释后，似乎既与我们的结果相符，又与对$\alpha$波事件可能起源的普遍接受的生理描述一致。 显示英文摘要

摘要： We perform an experimental study of the time behavior of the $\alpha$-wave events occuring in human electroencephalographic signals. We find that the fraction of the time spent in an $\alpha$-burst of time size $\tau$ exhibits a scaling behavior as a function of $\tau$. The corresponding exponent is equal to 1.75$\pm$0.13. We therefore point out the existence of a new power law appearing in physiology. Furhtermore, we show that our experimental result may have a possible explanation within a class of Self-Organized Critical (SOC) models recently proposed by Boettcher and Paczuski. In particular, one of these models, when properly re-interpreted, seems to be consistent both with our result and a commonly accepted physiological description of the possible origin of $\alpha$-wave events.