Targeting the dynamics of complex networks

被引:37
作者
Gutierrez, Ricardo [1 ]
Sendina-Nadal, Irene [1 ,2 ]
Zanin, Massimiliano [1 ]
Papo, David [1 ]
Boccaletti, Stefano [1 ]
机构
[1] Univ Politecn Madrid, Ctr Biomed Technol, Madrid 28223, Spain
[2] Univ Rey Juan Carlos, Complex Syst Grp, Madrid 28933, Spain
关键词
DIRECT TRAJECTORIES; PINNING CONTROL; CHAOS; SYNCHRONIZATION;
D O I
10.1038/srep00396
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We report on a generic procedure to steer (target) a network's dynamics towards a given, desired evolution. The problem is here tackled through a Master Stability Function approach, assessing the stability of the aimed dynamics, and through a selection of nodes to be targeted. We show that the degree of a node is a crucial element in this selection process, and that the targeting mechanism is most effective in heterogeneous scale-free architectures. This makes the proposed approach applicable to the large majority of natural and man-made networked systems.
引用
收藏
页数:5
相关论文
共 22 条
[1]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[2]   ASYMPTOTIC NUMBER OF LABELED GRAPHS WITH GIVEN DEGREE SEQUENCES [J].
BENDER, EA ;
CANFIELD, ER .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1978, 24 (03) :296-307
[3]   The control of chaos: theory and applications [J].
Boccaletti, S ;
Grebogi, C ;
Lai, YC ;
Mancini, H ;
Maza, D .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (03) :103-197
[4]   Complex networks: Structure and dynamics [J].
Boccaletti, S. ;
Latora, V. ;
Moreno, Y. ;
Chavez, M. ;
Hwang, D. -U. .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308
[5]   Adaptive targeting of chaos [J].
Boccaletti, S ;
Farini, A ;
Kostelich, EJ ;
Arecchi, FT .
PHYSICAL REVIEW E, 1997, 55 (05) :R4845-R4848
[6]  
Erdos P., 1959, PUBL MATH-DEBRECEN, V6, P290, DOI DOI 10.5486/PMD.1959.6.3-4.12
[7]   Pinning control of spatiotemporal chaos [J].
Grigoriev, RO ;
Cross, MC ;
Schuster, HG .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2795-2798
[8]   GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION [J].
KOCAREV, L ;
PARLITZ, U .
PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5028-5031
[9]   HIGHER-DIMENSIONAL TARGETING [J].
KOSTELICH, EJ ;
GREBOGI, C ;
OTT, E ;
YORKE, JA .
PHYSICAL REVIEW E, 1993, 47 (01) :305-310
[10]   Pinning a complex dynamical network to its equilibrium [J].
Li, X ;
Wang, XF ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (10) :2074-2087