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Chin. Phys. B, 2011, Vol. 20(3): 036401    DOI: 10.1088/1674-1056/20/3/036401
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Control of random Boolean networks via average sensitivity of Boolean functions

Chen Shi-Jian(陈士剑)a)† and Hong Yi-Guang(洪奕光)a)
Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
Abstract  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.
Keywords:  random Boolean network      control      average sensitivity  
Received:  24 September 2010      Revised:  29 November 2010      Accepted manuscript online: 
PACS:  64.60.Cn (Order-disorder transformations)  
  64.60.aq (Networks)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: Project supported in part by the National Natural Science Foundation of China (Grant Nos. 60874018, 60736022, and 60821091).

Cite this article: 

Chen Shi-Jian(陈士剑) and Hong Yi-Guang(洪奕光) Control of random Boolean networks via average sensitivity of Boolean functions 2011 Chin. Phys. B 20 036401

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