EXPONENTIAL SYNCHRONIZATION OF KURAMOTO OSCILLATORS WITH TIME DELAYED COUPLING

被引：0
|
作者：
Choi, Young-Pil [1 ]
Pignotti, Cristina [2 ]
机构：
[1] Yonsei Univ, Dept Math, Seoul 03722, South Korea
[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, I-67010 Laquila, Italy
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 19卷 / 05期
关键词：
The Kuramoto model; frequency synchronization; time delay; Lyapunov functional approach; CUCKER-SMALE MODEL; PHASE-LOCKED STATES; WEIGHTS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the asymptotic frequency synchronization for the non-identical Kuramoto oscillators with time delayed interactions. We provide explicit lower bound on the coupling strength and upper bound on the time delay in terms of initial configurations ensuring exponential synchronization. This generalizes not only the frequency synchronization estimate by Choi et al. [Phys. D, 241(7):735{754, 2012] for the non-identical Kuramoto oscillators without time delays but also improves previous result by Schmidt et al. [Automatica, 48(12):3008{3017, 2012] in the case of homogeneous time delays where the initial phase diameter is assumed to be less than pi/2. The proof relies on a Lyapunov functional approach.
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页码：1429 / 1445
页数：17
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