Dynamics of mobile coupled phase oscillators

被引：42
|
作者：
Uriu, Koichiro [1 ,2 ,3 ]
Ares, Saul [3 ,4 ]
Oates, Andrew C. [2 ]
Morelli, Luis G. [2 ,3 ,5 ,6 ]
机构：
[1] RIKEN Adv Sci Inst, Theoret Biol Lab, Wako, Saitama 3510198, Japan
[2] Max Planck Inst Mol Cell Biol & Genet, D-01307 Dresden, Germany
[3] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[4] CSIC, Ctr Nacl Biotecnol, Log Genom Syst Lab, E-28049 Madrid, Spain
[5] Consejo Nacl Invest Cient & Tecn, Dept Fis, FCEyN UBA, RA-1428 Buenos Aires, DF, Argentina
[6] Consejo Nacl Invest Cient & Tecn, Dept Fis, IFIBA, RA-1428 Buenos Aires, DF, Argentina
来源：
PHYSICAL REVIEW E | 2013年 / 87卷 / 03期
基金：
欧洲研究理事会; 日本学术振兴会;
关键词：
SYNCHRONIZATION; NETWORKS; PROMOTES; BIODIVERSITY; SEGMENTATION; POPULATIONS; MODEL;
D O I：
10.1103/PhysRevE.87.032911
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 study the transient synchronization dynamics of locally coupled phase oscillators moving on a one-dimensional lattice. Analysis of spatial phase correlation shows that mobility speeds up relaxation of spatial modes and leads to faster synchronization. We show that when mobility becomes sufficiently high, it does not allow spatial modes to form and the population of oscillators behaves like a mean-field system. Estimating the relaxation timescale of the longest spatial mode and comparing it with systems with long-range coupling, we reveal how mobility effectively extends the interaction range. DOI: 10.1103/PhysRevE.87.032911
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页数：7
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