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Emergence is one of the important characteristics of complex systems. At present, there is no definite conclusion on what emergence is and how it happens. Swarm model is selected for theoretical research. For convenience of doing so, its specific definition is given, and then the kinetic properties of this model are analyzed. By viewing the energy property, it is proven that under special circumstances the mean square deviation of each kinetic parameter would fall into a certain value space. Experimental results show that under certain conditions, by setting the initial state and parameters of the control equations, the behavior of Swarm can be effectively constrained.
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Keywords:
- emergent /
- kinetic properties /
- Swarm model
[1] Brunner K A 2002 European Meeting on Cybernetics and Systems Research Vienna, Austria, April 2002, p189
[2] [3] He Z B, Ma S F, He G G 2010 Acta Phys. Sin. 59 171(in Chinese)[贺正冰、 马寿峰 2010 物理学报 59 171]
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[5] [6] [7] Li L X, Luo Q, Peng HP, Wu W, Yang Y X 2008 Acta Phys. Sin. 57 1529(in Chinese)[李丽香、 罗 群、 彭海朋、 吴 薇、杨义先 2008 物理学报 57 1529]
[8] Kwong H 2003 IEEE Congress on Evolutionary Computation Canberra, Australia December 812 2003, p1029
[9] [10] [11] Reynolds C 1987 Computer Graphics 21 25
[12] [13] Li Z P, Sim C H 2006 IEEE International Conference on Industrial Informatics Singapore, Aug 1618 2006, p1295
[14] [15] Liu M G, 2009 Chinese Journal of Systems Science 17 67(in Chinese)[刘明广 2009 系统科学学报 17 67]
[16] Reza O S 2006 IEEE Transaction on Automatic Control 2006 p401
[17] [18] [19] Chen S M, Fang J H 2006 Proceedings of the 6th World Congress on Control and Automation Dalian, China, June 2123 2006, p526
[20] [21] Pedrami R, Gordon B W 2007 Proceedings of the 2007 American Control Conference New York, 2007, p1894
[22] Wang S F, Zhu H. An 2007 Proceedings of 2007 IEEE Congress on Evolutionary Computation Singapore, 2007 September 2528, p3239
[23] [24] [25] Wu Y, Zhou K, Su J 2008 Communications of SIWN 4 64
[26] [27] Wu Y, Zhou K, Li Y G, 2010 Control Theory Applications 27 1086(in Chinese)[吴 渝、 周 凯、 李银国 2010 控制理论与应用 27 1086]
[28] [29] Wang X F, Su H S, 2008 Advances in Mechanics 38 751(in Chinese)[汪小帆、 苏厚胜 2008 力学进展 38 751]
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[1] Brunner K A 2002 European Meeting on Cybernetics and Systems Research Vienna, Austria, April 2002, p189
[2] [3] He Z B, Ma S F, He G G 2010 Acta Phys. Sin. 59 171(in Chinese)[贺正冰、 马寿峰 2010 物理学报 59 171]
[4] Sun Y Z, Yuan J, Li W 2008 Acta Phys. Sin. 57 7548(in Chinese)[孙永征、 阮 炯、 李 望 2010 物理学报 59 171]
[5] [6] [7] Li L X, Luo Q, Peng HP, Wu W, Yang Y X 2008 Acta Phys. Sin. 57 1529(in Chinese)[李丽香、 罗 群、 彭海朋、 吴 薇、杨义先 2008 物理学报 57 1529]
[8] Kwong H 2003 IEEE Congress on Evolutionary Computation Canberra, Australia December 812 2003, p1029
[9] [10] [11] Reynolds C 1987 Computer Graphics 21 25
[12] [13] Li Z P, Sim C H 2006 IEEE International Conference on Industrial Informatics Singapore, Aug 1618 2006, p1295
[14] [15] Liu M G, 2009 Chinese Journal of Systems Science 17 67(in Chinese)[刘明广 2009 系统科学学报 17 67]
[16] Reza O S 2006 IEEE Transaction on Automatic Control 2006 p401
[17] [18] [19] Chen S M, Fang J H 2006 Proceedings of the 6th World Congress on Control and Automation Dalian, China, June 2123 2006, p526
[20] [21] Pedrami R, Gordon B W 2007 Proceedings of the 2007 American Control Conference New York, 2007, p1894
[22] Wang S F, Zhu H. An 2007 Proceedings of 2007 IEEE Congress on Evolutionary Computation Singapore, 2007 September 2528, p3239
[23] [24] [25] Wu Y, Zhou K, Su J 2008 Communications of SIWN 4 64
[26] [27] Wu Y, Zhou K, Li Y G, 2010 Control Theory Applications 27 1086(in Chinese)[吴 渝、 周 凯、 李银国 2010 控制理论与应用 27 1086]
[28] [29] Wang X F, Su H S, 2008 Advances in Mechanics 38 751(in Chinese)[汪小帆、 苏厚胜 2008 力学进展 38 751]
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