Control of random Boolean networks via average sensitivity of Boolean functions  

作　　者：陈士剑 洪奕光 

机构地区：[1]Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences

出　　处：《Chinese Physics B》2011年第3期347-353,共7页中国物理B（英文版）

基　　金：supported in part by the National Natural Science Foundation of China (Grant Nos. 60874018,60736022,and 60821091)

摘　　要：In this paper, we discuss how to transform the disordered phase into an ordered phase in random Boolean networks. To increase the effectiveness, a control scheme is proposed, which periodically freezes a fraction of the network based on the average sensitivity of Boolean functions of the nodes. Theoretical analysis is carried out to estimate the expected critical value of the fraction, and shows that the critical value is reduced using this scheme compared to that of randomly freezing a fraction of the nodes. Finally, the simulation is given for illustrating the effectiveness of the proposed method.In this paper, we discuss how to transform the disordered phase into an ordered phase in random Boolean networks. To increase the effectiveness, a control scheme is proposed, which periodically freezes a fraction of the network based on the average sensitivity of Boolean functions of the nodes. Theoretical analysis is carried out to estimate the expected critical value of the fraction, and shows that the critical value is reduced using this scheme compared to that of randomly freezing a fraction of the nodes. Finally, the simulation is given for illustrating the effectiveness of the proposed method.

关 键 词：random Boolean network CONTROL average sensitivity 

分 类 号：O231[理学—运筹学与控制论]