Effects of Janus Oscillators in the Kuramoto Model with Positive and Negative Couplings

被引:3
作者
Choi, Jungzae [1 ,2 ]
Choi, MooYoung [3 ,4 ]
Yoon, Byung-Gook [5 ]
机构
[1] Keimyung Univ, Dept Phys, Daegu 42601, South Korea
[2] Keimyung Univ, Dept Chem Engn, Daegu 42601, South Korea
[3] Seoul Natl Univ, Dept Phys & Astron, Seoul 08826, South Korea
[4] Seoul Natl Univ, Ctr Theoret Phys, Seoul 08826, South Korea
[5] Univ Ulsan, Dept Phys, Ulsan 44610, South Korea
关键词
Coupled phase oscillators; Kuramoto model; Traveling cluster; Traveling speed; Janus oscillators; BEHAVIOR; DYNAMICS;
D O I
10.3938/jkps.75.443
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the effects of Janus oscillators in a system of phase oscillators in which the coupling constants take both positive and negative values. Janus oscillators may also form a cluster when the other ones are ordered, and we calculate numerically the traveling speed of three clusters emerging in the system and average separations between them, as well as the order parameters for three groups of oscillators, as the coupling constants and the fractions of positive and Janus oscillators are varied. An expression explaining the dependence of the traveling speed on these parameters is obtained and observed to fit well the numerical data. With the help of this, we describe how Janus oscillators affect the traveling of the clusters in the system.
引用
收藏
页码:443 / 447
页数:5
相关论文
共 16 条
[1]  
[Anonymous], 1975, LECT NOTES PHYS, DOI [10.1007/BFb0013365, DOI 10.1007/BFB0013365]
[2]   Traveling Speed of Clusters in the Kuramoto-Sakaguchi Model [J].
Choi, Jungzae ;
Choi, MooYoung ;
Yoon, Byung-Gook .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2018, 72 (03) :342-347
[3]   On the Dynamics of Traveling Phase-oscillators with Positive and Negative Couplings [J].
Choi, Jungzae ;
Choi, MooYoung ;
Yoon, Byung-Gook .
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2014, 65 (11) :1738-1742
[4]   Spontaneous emergence of contrarian-like behaviour in an opinion spreading model [J].
de la Lama, MS ;
López, JM ;
Wio, HS .
EUROPHYSICS LETTERS, 2005, 72 (05) :851-857
[5]   Contrarian deterministic effects on opinion dynamics: "the hung elections scenario" [J].
Galam, S .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 333 (1-4) :453-460
[6]   Mean-field behavior in coupled oscillators with attractive and repulsive interactions [J].
Hong, Hyunsuk ;
Strogatz, Steven H. .
PHYSICAL REVIEW E, 2012, 85 (05)
[7]   Conformists and contrarians in a Kuramoto model with identical natural frequencies [J].
Hong, Hyunsuk ;
Strogatz, Steven H. .
PHYSICAL REVIEW E, 2011, 84 (04)
[8]   Kuramoto Model of Coupled Oscillators with Positive and Negative Coupling Parameters: An Example of Conformist and Contrarian Oscillators [J].
Hong, Hyunsuk ;
Strogatz, Steven H. .
PHYSICAL REVIEW LETTERS, 2011, 106 (05)
[9]   STATISTICAL MACRODYNAMICS OF LARGE DYNAMICAL-SYSTEMS - CASE OF A PHASE-TRANSITION IN OSCILLATOR COMMUNITIES [J].
KURAMOTO, Y ;
NISHIKAWA, I .
JOURNAL OF STATISTICAL PHYSICS, 1987, 49 (3-4) :569-605
[10]  
Kuramoto Y, 2012, CHEM OSCILLATIONS WA