Spatiotemporal dynamics of networks of excitable nodes

被引:33
作者
Steele, AJ [1 ]
Tinsley, M [1 ]
Showalter, K [1 ]
机构
[1] W Virginia Univ, Dept Chem, Morgantown, WV 26506 USA
基金
美国国家科学基金会;
关键词
D O I
10.1063/1.2177569
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A network of excitable nodes based on the photosensitive Belousov-Zhabotinsky reaction is studied in experiments and simulations. The addressable medium allows both local and nonlocal links between the nodes. The initial spread of excitation across the network as well as the asymptotic oscillatory behavior are described. Synchronization of the spatiotemporal dynamics occurs by entrainment to high-frequency network pacemakers formed by excitation loops. Analysis of the asymptotic behavior reveals that the dynamics of the network is governed by a subnetwork selected during the initial transient period. (C) 2006 American Institute of Physics.
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页数:9
相关论文
共 30 条
[1]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[2]   Synchronization in small-world systems [J].
Barahona, M ;
Pecora, LM .
PHYSICAL REVIEW LETTERS, 2002, 89 (05) :054101/1-054101/4
[3]   Synchronization is enhanced in weighted complex networks [J].
Chavez, M ;
Hwang, DU ;
Amann, A ;
Hentschel, HGE ;
Boccaletti, S .
PHYSICAL REVIEW LETTERS, 2005, 94 (21)
[4]  
Dijkstra E.W., 1959, Numerische mathematik, V1, P269, DOI DOI 10.1007/BF01386390
[5]  
EGGERMONT J, 1998, NEUROSCI BIOBEHAV R, V22, P440
[6]  
FIELD RJ, 1974, J CHEM PHYS, V60, P1877, DOI 10.1063/1.1681288
[7]   Synchronization on small-world networks [J].
Hong, H ;
Choi, MY ;
Kim, BJ .
PHYSICAL REVIEW E, 2002, 65 (02) :1-026139
[8]  
Jung P, 2000, ANN PHYS-BERLIN, V9, P697, DOI 10.1002/1521-3889(200010)9:9/10<697::AID-ANDP697>3.0.CO
[9]  
2-B
[10]   Reaction mechanism for light sensitivity of the Ru(bpy)(3)(2+)-catalyzed Belousov-Zhabotinsky reaction [J].
Kadar, S ;
Amemiya, T ;
Showalter, K .
JOURNAL OF PHYSICAL CHEMISTRY A, 1997, 101 (44) :8200-8206