Chin. Phys. Lett.  2011, Vol. 28 Issue (4): 040504    DOI: 10.1088/0256-307X/28/4/040504
GENERAL |
Chaos Control in Random Boolean Networks by Reducing Mean Damage Percolation Rate
JIANG Nan1**, CHEN Shi-Jian2
1Department of Automation, Tsinghua University, Beijing 100084
2Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
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JIANG Nan, CHEN Shi-Jian 2011 Chin. Phys. Lett. 28 040504
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Abstract Chaos control in random Boolean networks is implemented by freezing part of the network to drive it from chaotic to ordered phase. However, controlled nodes are only viewed as passive blocks to prevent perturbation spread. We propose a new control method in which controlled nodes can exert an active impact on the network. Controlled nodes and frozen values are deliberately selected according to the information of connection and Boolean functions. Simulation results show that the number of nodes needed to achieve control is largely reduced compared to the previous method. Theoretical analysis is also given to estimate the least fraction of nodes needed to achieve control.
Keywords: 05.45.Gg      87.18.Cf     
Received: 21 October 2010      Published: 29 March 2011
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  87.18.Cf (Genetic switches and networks)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/4/040504       OR      https://cpl.iphy.ac.cn/Y2011/V28/I4/040504
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JIANG Nan
CHEN Shi-Jian
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