Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise

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초록

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.

키워드

Kuramoto model; order parameter; synchronization; Euler- Maruyama method; PHASE-LOCKED STATES; POPULATIONS; BEHAVIOR; OSCILLATORS; ENTRAINMENT; EXISTENCE; STABILITY; NETWORKS; LOCKING
제목
Synchronization Estimate of the Discrete Kuramoto Model with Multiplicative Random Noise
저자
Shim, Woojoo
DOI
10.5666/KMJ.2024.64.4.559
발행일
2024-12
유형
Article
저널명
Kyungpook Mathematical Journal
권
64
호
4
페이지
559 ~ 578