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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 |
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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.
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Received: 24 September 2010
Revised: 29 November 2010
Accepted manuscript online:
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PACS:
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64.60.Cn
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(Order-disorder transformations)
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64.60.aq
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(Networks)
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05.45.Gg
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(Control of chaos, applications of chaos)
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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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