Synchronization and clustering in globally coupled salt-water oscillators

被引：41

作者：

Miyakawa, K ^{[1
]}

Yamada, K ^{[1
]}

机构：

[1] Fukuoka Univ, Fac Sci, Dept Appl Phys, Fukuoka 8140180, Japan

来源：

PHYSICA D | 2001年 / 151卷 / 2-4期

关键词：

global coupling; synchronization; clustering; salt-water oscillator;

D O I：

10.1016/S0167-2789(00)00218-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Collective dynamics in globally coupled salt-water oscillators is studied as a function of coupling parameter and system size. The coupling parameter is controlled by changing the ratio of the surface area of the cup to that of the outer vessel. Antiphase and cluster states are observed as ordered states at a large coupling parameter. The appearances of such states are restricted to the case of a small number of constituent oscillators. For a large population of the oscillator, it is found that coupling among oscillators is promoted with the coupling strength, but there is some limitation in a degree of coupling induced. Furthermore, the effect of viscosity on coupling behaviors is investigated. These results are discussed using the idea of frustration developed in the area of the spin system. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：217 / 227

页数：11

共 21 条

[1] Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function [J].

Daido, H .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 91 (1-2) :24-66

[2] POPULATION-DYNAMICS OF RANDOMLY INTERACTING SELF-OSCILLATORS .1. TRACTABLE MODELS WITHOUT FRUSTRATION [J].

DAIDO, H .

PROGRESS OF THEORETICAL PHYSICS, 1987, 77 (03) :622-634

[3] MECHANISMS OF SPATIAL SELF-ORGANIZATION IN ISOTHERMAL KINETIC OSCILLATIONS DURING THE CATALYTIC CO OXIDATION ON PT SINGLE-CRYSTAL SURFACES [J].

EISWIRTH, M ;

MOLLER, P ;

WETZL, K ;

IMBIHL, R ;

ERTL, G .

JOURNAL OF CHEMICAL PHYSICS, 1989, 90 (01) :510-521

[4] CLUSTERING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].

GOLOMB, D ;

HANSEL, D ;

SHRAIMAN, B ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1992, 45 (06) :3516-3530

[5] PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS [J].

HADLEY, P ;

BEASLEY, MR ;

WIESENFELD, K .

PHYSICAL REVIEW B, 1988, 38 (13) :8712-8719

[6] Experiments on arrays of globally coupled periodic electrochemical oscillators [J].

Kiss, IZ ;

Wang, W ;

Hudson, JL .

JOURNAL OF PHYSICAL CHEMISTRY B, 1999, 103 (51) :11433-11444

[7] COLLECTIVE SYNCHRONIZATION OF PULSE-COUPLED OSCILLATORS AND EXCITABLE UNITS [J].

KURAMOTO, Y .

PHYSICA D, 1991, 50 (01) :15-30

[8]

Kuramoto Y., 1984, CHEM OSCILLATIONS WA, VVolume 19

[9]

Kuramoto Y., 1984, PROG THEOR PHYS SUPP, V79, P223, DOI DOI 10.1143/PTPS.79.223

[10]

Martin S., 1970, Geophysical Fluid Dynamics, V1, P143, DOI 10.1080/03091927009365771

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