Elucidation of the function of the 1/f fluctuation which is related to adaptiogenesis and stability of complex systems and its engineering applications

[1]功能复杂性的1/f fluctuationAs a measure of the complexity of 1/f fluctuationD1 fluctuationtime series， a short-time information entropy is proposed which quantitatively determine a diversity at functional unit defined using autocorrelation function.在相互信息的减少中产生的熵是作为复杂性的指数引入的。它展示了衡量标准和熵在1/f流动中成为最大的东西。按顺序调查1/f流动的功能， 1/f流动已被应用到通过稳定神经网络和时间系列模拟游戏来解决TSP问题的解决方案中，其有效性显示出来。[2]1/f通量的统计属性和分类是根据生成机制分类的1/f通量的方法，提出的后续结果：用系统中的时间可逆属性用高阶相关函数来计算分形维度的方法，用相关积分来计算分形维度的方法。此方法应用于1/f闪光时间系列，由1/2的整体白噪声、分段和混沌的划分组成，在1/f闪光中发现了各种类型。[3]1/f荧光灯用于电气装置的应用，如照明和空气调节器，对1/f荧光灯的舒适影响进行了测试。进一步，1/f对视频游戏的流动应用和对平衡函数进行评估和训练的应用已经提出。[4]1/f闪光的生成方法是由滑动式和逻辑门组成的简单数字电路，等等，被提议作为一个1/f闪光时间系列的生成器，而不需要元素的准确性。一个简单的数字电路，产生了1/F-D1 α-D1流动时间也提出，并应用于HVAC控制已被测试。

[1] Functional complexity of 1/f fluctuationAs a measure of the complexity of 1/fィイD1νィエD1 fluctuation time series, a short-time information entropy was proposed which quantitatively determine a diversity at functional unit defined using autocorrelation function. The entropy generated until the mutual information decreases to the fixed value was introduced as an index to the complexity. It was shown that the measure and the entropy become biggest in 1/f fluctuation. In order to investigate the function of 1/f fluctuation, 1/f fluctuation was applied to the solution to TSP problem by stochastic neural network and a time series imitation game, and its effectiveness was shown.[2] Statistical property and classification of the 1/f fluctuationAs a method for classifying 1/f fluctuation by the generation mechanism, the followings were proposed : Method by deducing the variance of fluctuation at the detailed balance of the system from time-reversible property using the higher-order correlation function, method by deducing the fractal dimension using the correlation integral. This method was applied to 1/f fluctuation time series made by 1/2th integral of white noise, division of the segment and chaos, a it was found that there were various types in 1/f fluctuation.[3] Applications of 1/f fluctuationFor the electric appliance such as lighting and air conditioner, the examination on the comfort effect of 1/f fluctuation was carried out. Further, the application of 1/f fluctuation to the video game and the application to evaluation and training of the balance-function were proposed.[4] Generation method of 1/f fluctuationA simple digital circuit composed of flip-flops and logic gates, etc. was proposed as a 1/f fluctuation time series generator without requirement for the element accuracy. A simple digital circuit which generated 1/fィイD1αィエD1 fluctuation time was also proposed, and its application to the HVAC control was examined.