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
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
摘要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.
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.
JIANG Nan**;CHEN Shi-Jian
. Chaos Control in Random Boolean Networks by Reducing Mean Damage Percolation Rate[J]. 中国物理快报, 2011, 28(4): 40504-040504.
JIANG Nan**, CHEN Shi-Jian
. Chaos Control in Random Boolean Networks by Reducing Mean Damage Percolation Rate. Chin. Phys. Lett., 2011, 28(4): 40504-040504.
[1] Kauffman S A 1969 J. Theor. Biol. 22 437
[2] Gershenson C 2004 Workshop and Tutorial Proceedings, Ninth International Conference on the Simulation and Synthesis of Living Systems (ALife IX) (Boston, USA 12–15 September 2004) p 160
[3] Li F T and Jia X 2006 Chin. Phys. Lett. 23 2307
[4] Huang Z G, Wu Z X, Guan J Y and Wang Y H 2006 Chin. Phys. Lett. 23 3119
[5] Luque B and Solé R V 1997 Europhys. Lett. 37(9) 597
[6] Ballesteros F J and Luque B 2002 Physica A 313 289
[7] Hong Y G and Xu X R 2010 Proceedings of the 29th Chinese Control Conference (Beijing, China 29–31 July 2010) p 805
[8] Luque B and Solé R V 1997 Phys. Rev. E 55 257
[9] Moreira A A and Amaral L A 2005 Phys. Rev. Lett. 94 218702
[10] Schober S and Bossert M 2007 arXiv:0704.0197v1
[11] Zhou T, Carlson J M and Doyle J 2002 Proc. Natl. Acad. Sci. 99 2049
2011, Vol. 28 
