具有时滞和挫折的广义Kuramoto模型的同步

IF 1.2 4区数学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Networks and Heterogeneous Media Pub Date : 2023-01-01 DOI:10.3934/nhm.2023077

Tingting Zhu

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引用次数: 1

摘要

< < >我们研究了在一般网络拓扑下具有挫折的延时Kuramoto模型的集体行为。对于图径不大于2的广义Kuramoto模型，在足够的时滞和挫折小、耦合强度大的条件下，我们证明了当初始构型分布在半圆内时，完全频率同步以指数速度发生。我们还研究了一个完整的网络，这是一个小的全对全耦合的扰动，并提出了足够的框架，导致限制在半圆内的初始数据呈指数级出现频率同步。</abstract>

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Synchronization of the generalized Kuramoto model with time delay and frustration

We studied the collective behaviors of the time-delayed Kuramoto model with frustration under general network topology. For the generalized Kuramoto model with the graph diameter no greater than two and under a sufficient regime in terms of small time delay and frustration and large coupling strength, we showed that the complete frequency synchronization occurs exponentially fast when the initial configuration is distributed in a half circle. We also studied a complete network, which is a small perturbation of all-to-all coupling, as well as presented sufficient frameworks leading to the exponential emergence of frequency synchronization for the initial data confined in a half circle.

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来源期刊

Networks and Heterogeneous Media 数学-数学跨学科应用

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： NHM offers a strong combination of three features: Interdisciplinary character, specific focus, and deep mathematical content. Also, the journal aims to create a link between the discrete and the continuous communities, which distinguishes it from other journals with strong PDE orientation. NHM publishes original contributions of high quality in networks, heterogeneous media and related fields. NHM is thus devoted to research work on complex media arising in mathematical, physical, engineering, socio-economical and bio-medical problems.