On the synchronization theory of Kuramoto oscillators under the effect of inertia

被引：14
|
作者：
Hsia, Chun-Hsiung [1 ,2 ]
Jung, Chang-Yeol [3 ]
Kwon, Bongsuk [3 ]
机构：
[1] Natl Taiwan Univ, Dept Math, Inst Appl Math Sci, 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
[2] Natl Taiwan Univ, Natl Ctr Theoret Sci, 1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
[3] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan, South Korea
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Kuramoto; Synchronization; PHASE-LOCKED STATES; COUPLED OSCILLATORS; MODEL; POPULATIONS; STABILITY; NETWORKS;
D O I：
10.1016/j.jde.2019.01.024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the synchronized collective behavior of the Kuramoto oscillators with inertia effect. Both the frequency synchronization for nonidentical case and the phase synchronization for identical case are in view. As an application of our general theory, we show the global frequency synchronization for the three-nonidentical-oscillator case. (c) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：742 / 775
页数：34
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