Noise effects on synchronization in systems of coupled oscillators

被引：24

作者：

Hong, H ^{[1
]}

Choi, MY

Yoon, BG

Park, K

Soh, KS

机构：

[1] Seoul Natl Univ, Dept Phys Educ, Seoul 151742, South Korea

[2] Seoul Natl Univ, Dept Phys, Seoul 151742, South Korea

[3] Seoul Natl Univ, Ctr Theoret Phys, Seoul 151742, South Korea

[4] Univ Ulsan, Dept Phys, Ulsan 680749, South Korea

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 01期

关键词：

D O I：

10.1088/0305-4470/32/1/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the synchronization phenomena in systems of globally coupled oscillators, each possessing finite inertia, with particular attention to the noise effects. The self-consistency equation for the order parameter as well as the probability distribution is obtained from the Smoluchowski equation, and analyzed in the presence of thermal noise. It is found that the hysteresis present in the system without noise disappears as the thermal noise comes into the system. Numerical simulations are also performed to give results generally consistent with the analytical ones.

引用

页码：L9 / L15

页数：7

共 26 条

[1] FRACTIONAL GIANT SHAPIRO STEPS AND SPATIALLY CORRELATED PHASE MOTION IN 2D JOSEPHSON ARRAYS [J].

BENZ, SP ;

RZCHOWSKI, MS ;

TINKHAM, M ;

LOBB, CJ .

PHYSICAL REVIEW LETTERS, 1990, 64 (06) :693-696

[2] SYNCHRONOUS RHYTHMIC FLASHING OF FIREFLIES .2. [J].

BUCK, J .

QUARTERLY REVIEW OF BIOLOGY, 1988, 63 (03) :265-289

[3] TOPOLOGICAL INVARIANCE OF SUPERCONDUCTING ARRAYS [J].

CHOI, MY .

PHYSICAL REVIEW B, 1992, 46 (01) :564-566

[4] PERIODIC SYNCHRONIZATION IN A DRIVEN SYSTEM OF COUPLED OSCILLATORS [J].

CHOI, MY ;

KIM, YW ;

HONG, DC .

PHYSICAL REVIEW E, 1994, 49 (05) :3825-3832

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

DAIDO, H .

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

[6] QUASI-ENTRAINMENT AND SLOW RELAXATION IN A POPULATION OF OSCILLATORS WITH RANDOM AND FRUSTRATED INTERACTIONS [J].

DAIDO, H .

PHYSICAL REVIEW LETTERS, 1992, 68 (07) :1073-1076

[7] COHERENT OSCILLATIONS - A MECHANISM OF FEATURE LINKING IN THE VISUAL-CORTEX - MULTIPLE ELECTRODE AND CORRELATION ANALYSES IN THE CAT [J].

ECKHORN, R ;

BAUER, R ;

JORDAN, W ;

BROSCH, M ;

KRUSE, W ;

MUNK, M ;

REITBOECK, HJ .

BIOLOGICAL CYBERNETICS, 1988, 60 (02) :121-130

[8]

HONG H, 1999, IN PRESS PHYS REV E, V59

[9] SUBHARMONIC STRUCTURE OF SHAPIRO STEPS IN FRUSTRATED SUPERCONDUCTING ARRAYS [J].

KIM, S ;

KIM, BJ ;

CHOI, MY .

PHYSICAL REVIEW B, 1995, 52 (18) :13536-13546

[10] 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

← 1 2 3 →