Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

Woojoo Shim

doi:10.5666/KMJ.2024.64.4.559

Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

Woojoo Shim

Department of Mathematics Education

Research output: Contribution to journal › Article › peer-review

Abstract

We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the discrete-time Kuramoto model with multiplicative noise will be asymptotically synchronized almost surely.

Original language	English
Pages (from-to)	559-578
Number of pages	20
Journal	Kyungpook Mathematical Journal
Volume	64
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2024.64.4.559
State	Published - 2024

Keywords

Euler-Maruyama method
Kuramoto model
order parameter
synchronization

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10.5666/KMJ.2024.64.4.559

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title = "Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise",

abstract = "We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the discrete-time Kuramoto model with multiplicative noise will be asymptotically synchronized almost surely.",

keywords = "Euler-Maruyama method, Kuramoto model, order parameter, synchronization",

author = "Woojoo Shim",

year = "2024",

doi = "10.5666/KMJ.2024.64.4.559",

language = "English",

volume = "64",

pages = "559--578",

journal = "Kyungpook Mathematical Journal",

issn = "1225-6951",

publisher = "Kyungmoon Publishing",

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TY - JOUR

T1 - Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

AU - Shim, Woojoo

PY - 2024

Y1 - 2024

N2 - We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the discrete-time Kuramoto model with multiplicative noise will be asymptotically synchronized almost surely.

AB - We study the onset of synchronization in the time-discretization of the Kuramoto model with multiplicative noise. Specifically, we present a sufficient condition that ensures that, starting from generic initial data, identical oscillators in the discrete-time Kuramoto model with multiplicative noise will be asymptotically synchronized almost surely.

KW - Euler-Maruyama method

KW - Kuramoto model

KW - order parameter

KW - synchronization

UR - https://www.scopus.com/pages/publications/85214324615

U2 - 10.5666/KMJ.2024.64.4.559

DO - 10.5666/KMJ.2024.64.4.559

M3 - Article

AN - SCOPUS:85214324615

SN - 1225-6951

VL - 64

SP - 559

EP - 578

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

ER -

Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

Abstract

Keywords

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