ON THE SYNCHRONIZATION OF DISCRETE-TIME KURAMOTO MODEL WITH FRUSTRATION

被引：0
作者：
Zhu, Tingting [1 ,2 ]
机构：
[1] Hefei Univ, Key Lab Appl Math & Artificial Intelligence Mech, Hefei, Peoples R China
[2] Hefei Univ, Sch Artificial Intelligence & Big Data, Hefei, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Synchronization; asymptotic behaviors; discrete-time dynamics; Kuramoto model; frustration; PHASE-LOCKED STATES; EMERGENT BEHAVIORS; OSCILLATORS; STABILITY;
D O I：
10.3934/cpaa.2023109
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the emergent discrete-time dynamics of the Kuramoto model with frustration. For the discrete identical Kuramoto model with frustration, we present the exponential synchronization estimate for some admissible classes of initial configuration confined in a half circle. For the nonidentical oscillators, we exploit the second-order lifting of the original Kuramoto model with frustration and study the emergent behaviors of the corresponding discrete augmented model. More precisely, under a sufficient framework in terms of large coupling strength and small step size, we derive that the initial configuration distributed in a small set of a quarter circle will converge to frequency synchronization.
引用
收藏
页码：3233 / 3249
页数：17
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