Self-organized network of phase oscillators coupled by activity-dependent interactions

被引:62
作者
Aoki, Takaaki [1 ]
Aoyagi, Toshio [2 ,3 ]
机构
[1] Kagawa Univ, Fac Educ, Takamatsu, Kagawa 7608521, Japan
[2] Kyoto Univ, Grad Sch Informat, Kyoto 6068501, Japan
[3] Japan Sci & Technol Agcy, CREST, Kawaguchi, Saitama 3320012, Japan
来源
PHYSICAL REVIEW E | 2011年 / 84卷 / 06期
关键词
CO OXIDATION; SYNCHRONIZATION; DYNAMICS; POPULATION; EMERGENCE; KURAMOTO; MODEL;
D O I
10.1103/PhysRevE.84.066109
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate a network of coupled phase oscillators whose interactions evolve dynamically depending on the relative phases between the oscillators. We found that this coevolving dynamical system robustly yields three basic states of collective behavior with their self-organized interactions. The first is the two-cluster state, in which the oscillators are organized into two synchronized groups. The second is the coherent state, in which the oscillators are arranged sequentially in time. The third is the chaotic state, in which the relative phases between oscillators and their coupling weights are chaotically shuffled. Furthermore, we demonstrate that self-assembled multiclusters can be designed by controlling the weight dynamics. Note that the phase patterns of the oscillators and the weighted network of interactions between them are simultaneously organized through this coevolving dynamics. We expect that these results will provide new insight into self-assembly mechanisms by which the collective behavior of a rhythmic system emerges as a result of the dynamics of adaptive interactions.
引用
收藏
页数:14
相关论文
共 63 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]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[3]  
[Anonymous], 2001, SYNCHRONIZATION
[4]   Co-evolution of Phases and Connection Strengths in a Network of Phase Oscillators [J].
Aoki, Takaaki ;
Aoyagi, Toshio .
PHYSICAL REVIEW LETTERS, 2009, 102 (03)
[5]   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
[6]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[7]   Synaptic modifications in cultured hippocampal neurons: Dependence on spike timing, synaptic strength, and postsynaptic cell type [J].
Bi, GQ ;
Poo, MM .
JOURNAL OF NEUROSCIENCE, 1998, 18 (24) :10464-10472
[8]   Spike timing-dependent plasticity: A Hebbian learning rule [J].
Caporale, Natalia ;
Dan, Yang .
ANNUAL REVIEW OF NEUROSCIENCE, 2008, 31 :25-46
[9]   Interplay between a phase response curve and spike-timing-dependent plasticity leading to wireless clustering [J].
Cateau, Hideyuki ;
Kitano, Katsunori ;
Fukai, Tomoki .
PHYSICAL REVIEW E, 2008, 77 (05)
[10]   Synchronization in the Kuramoto model: A dynamical gradient network approach [J].
Chen, Maoyin ;
Shang, Yun ;
Zou, Yong ;
Kurths, Juergen .
PHYSICAL REVIEW E, 2008, 77 (02)