Interplay of inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators

被引：5

作者：

Ha, Seung-Yeal ^{[1
,2
]}

Noh, Se Eun ^{[3
]}

Park, Jinyeong ^{[4
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] Myongji Univ, Dept Math, Yongin 449728, South Korea

[4] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

ANALYSIS AND APPLICATIONS | 2017年 / 15卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Kuramoto oscillators; inertia; heterogeneous dynamics; practical synchronization; PHASE-LOCKED STATES; COMPLETE SYNCHRONIZATION; MODEL; SYSTEMS; POPULATIONS; STABILITY; SPECTRUM; RHYTHMS;

D O I：

10.1142/S0219530516500111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the dynamic interplay between inertia and heterogeneous dynamics in an ensemble of Kuramoto oscillators. When external fields and internal forces are exerted on a system of Kuramoto oscillators, each oscillator has its own distinct dynamics, so that there is no notion of collective dynamics in the ensemble, and complete synchronization is not observed in such systems. In this paper, we study a relaxed version of synchronization, namely the "practical synchronization", of Kuramoto oscillators, emerging from the dynamic interplay between inertia and heterogeneous decoupled dynamics. We will show that for some class of initial configurations and parameters, the fluctuation of phases and frequencies around the average values will be proportional to the inverse of the coupling strength. We provide several numerical examples, and compare these with our analytical results.

引用

页码：837 / 861

页数：25

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