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

[1] Functional complexity of 1/f fluctuationAs a measure of the complexity of 1/f D1ν D1fluctuation时间序列a short-time information entropy was proposed which quantitatively determine a diversity atfunctional unit定义使用autocorrelation function. The entropy generated until The mutualinformation decreases to the fixed value was introduced as an index to the complexity. It shownthe measure and the entropy become biggest in 1/f fluctuation. in order to investigate thefunction of 1/f fluctuation，1/f fluctuation was applied to the solution to TSP problem by stochastic neural network and a time系列imitation game[2] Statistical property and classification of the 1/f fluctuationAsa method for classifying 1/f fluctuation by the generation mechanismfollowings were proposed：方法by deducing the variance of fluctuation at the detailed balance of the system fromtime-reversible property using the higher-order correlation function该方法是适用的，这是由方法去除fractal dimension使用的correlation integral.1/f fluctuation time series made by 1/2th integral of white noisedivision of the segment and chaos，a it found that there were various types in 1/f fluctuation.[3] Applications of 1/ffluctuationFor the electric appliance such as lighting and air conditioner，the examination on the comfort效应of 1/f fluctuation was carried out. Further1/f fluctuation to the video game and the application to evaluation and trainingof the balance-function proposed.[4] Generation method of 1/f fluctuationA simple digitalcircuit composed of flip-flops and logic gateswas proposed as a 1/f fluctuation time series generator without requirement for the elementaccuracy. A simple digital circuit which generated 1/f - 1α - D1 fluctuation time was also proposed，它的应用程序在HVAC控制was examined。

[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.