Emergent Behaviors of the Kuramoto Model with a Time Delay on a General Digraph

DOI10.1137/19M1249096zbMath1484.34160OpenAlexW3001735151WikidataQ126317185 ScholiaQ126317185MaRDI QIDQ5217400

Doheon Kim, Seung-Yeal Ha, Jiu-Gang Dong

Publication date: 27 February 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1249096

zbMATH Keywords

digraphsynchronizationspanning treecommunication delaysKuramoto model

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Directed graphs (digraphs), tournaments (05C20) Synchronization of functional-differential equations (34K24)

Related Items (11)

The Watanabe-Strogatz transform and constant of motion functionals for kinetic vector models ⋮ Flocking under hierarchical leadership with symmetrical and asymmetrical delays ⋮ Emergence of synchronization in Kuramoto model with frustration under general network topology ⋮ Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation ⋮ On the synchronization of discrete-time Kuramoto model with frustration ⋮ Synchronization of discrete time Kuramoto oscillators with delayed states ⋮ Cardinality of Collisions in Asymptotic Phase-Locking for the Kuramoto Model with Inertia ⋮ Synchronization of the generalized Kuramoto model with time delay and frustration ⋮ Interplay of inertia and adaptive couplings in the emergent dynamics of Kuramoto ensemble ⋮ Unnamed Item ⋮ Emergence of synchronization in Kuramoto model with general digraph

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