On the synchronization of discrete-time Kuramoto model with frustration

DOI10.3934/cpaa.2023109zbMath1528.39002OpenAlexW4387028471MaRDI QIDQ6086443

Tingting Zhu

Publication date: 12 December 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023109

zbMATH Keywords

synchronizationfrustrationasymptotic behaviorsKuramoto modeldiscrete-time dynamics

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Discrete version of topics in analysis (39A12)

Cites Work

• Unnamed Item
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• Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
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• Uniqueness and well-ordering of emergent phase-locked states for the Kuramoto model with frustration and inertia
• Large-Time Dynamics of Kuramoto Oscillators under the Effects of Inertia and Frustration
• Flocking and synchronization of particle models
• Remarks on the complete synchronization for the Kuramoto model with frustrations
• Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration
• Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph
• Uniform-in-time transition from discrete to continuous dynamics in the Kuramoto synchronization

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