On Kuramoto-Sakaguchi-type Fokker-Planck equation with delay

被引：0

作者：

Honda H. ^{[1
]}

机构：

[1] Faculty of Information and Networking for Innovation and Design, Toyo university, Akabanedai 1-7-11, Kita-Ku, Tokyo

来源：

Networks and Heterogeneous Media | 2023年 / 19卷 / 01期

关键词：

dynamic system; Fokker-Planck equation; Kuramoto–Sakaguchi equation; Sobolevel–Slobodetskii space; synchronization;

D O I：

10.3934/NHM.2024001

中图分类号：

学科分类号：

摘要：

Recently, the Kuramoto model with transmission delay has been attracting increasing attention, accompanied by the increase in its practical applications. In this paper, we studied the Kuramoto-Sakaguchi-type Fokker-Planck equation of the above model proposed by Lee et al., in 2009. We proved the global-in-time solvability of the equation under some conditions on the initial data and distribution of delay. © 2024 the Author(s), licensee AIMS Press.

引用

页码：1 / 23

页数：22

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