Analysis of Synchronization Behavior of Small World Networks by Kuramoto Model

被引:0
作者
Ciftci, Koray [1 ]
机构
[1] Tekirdag Namik Kemal Univ, Biyomed Muhendisligi Bolumu, Corlu, Turkey
来源
2019 27TH SIGNAL PROCESSING AND COMMUNICATIONS APPLICATIONS CONFERENCE (SIU) | 2019年
关键词
synchronization; Kuramoto model; small world network; oscillator;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this study, the synchronization behaviour of coupled oscillators with heterogeneous intrinsic frequencies is investigated with the Kuramoto Model. The network structure is varied between the completely regular and completely random states and the synchronization among the oscillators is determined by quantifying the phase locking among them. It is concluded that the synchronization is optimal in the small world regime which stands between the fully regular and random states.
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页数:4
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共 11 条
[1]   The Kuramoto model:: A simple paradigm for synchronization phenomena [J].
Acebrón, JA ;
Bonilla, LL ;
Vicente, CJP ;
Ritort, F ;
Spigler, R .
REVIEWS OF MODERN PHYSICS, 2005, 77 (01) :137-185
[2]   Synchronization in complex networks [J].
Arenas, Alex ;
Diaz-Guilera, Albert ;
Kurths, Jurgen ;
Moreno, Yamir ;
Zhou, Changsong .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153
[3]   Small-world brain networks [J].
Bassett, Danielle Smith ;
Bullmore, Edward T. .
NEUROSCIENTIST, 2006, 12 (06) :512-523
[4]   Generative models of cortical oscillations: neurobiological implications of the Kuramoto model [J].
Breakspear, Michael ;
Heitmann, Stewart ;
Daffertshofer, Andreas .
FRONTIERS IN HUMAN NEUROSCIENCE, 2010, 4
[5]   Analysis of a power grid using a Kuramoto-like model [J].
Filatrella, G. ;
Nielsen, A. H. ;
Pedersen, N. F. .
EUROPEAN PHYSICAL JOURNAL B, 2008, 61 (04) :485-491
[6]   Synchronization on small-world networks [J].
Hong, H ;
Choi, MY ;
Kim, BJ .
PHYSICAL REVIEW E, 2002, 65 (02) :1-026139
[7]  
Jadbabaie A, 2004, P AMER CONTR CONF, P4296
[8]   Efficient behavior of small-world networks [J].
Latora, V ;
Marchiori, M .
PHYSICAL REVIEW LETTERS, 2001, 87 (19) :198701-1
[9]   The Kuramoto model in complex networks [J].
Rodrigues, Francisco A. ;
Peron, Thomas K. D. M. ;
Ji, Peng ;
Kurths, Juergen .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2016, 610 :1-98
[10]   LOCAL AND GLOBAL SELF-ENTRAINMENTS IN OSCILLATOR LATTICES [J].
SAKAGUCHI, H ;
SHINOMOTO, S ;
KURAMOTO, Y .
PROGRESS OF THEORETICAL PHYSICS, 1987, 77 (05) :1005-1010