Conditions for Global Synchronization in Networks of Heterogeneous Kuramoto Oscillators

Mercado Uribe, José Ángel; Mendoza-Avila, Jesús; Efimov, Denis; Schiffer, Johannes

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1016/j.automatica.2025.112180

Title :

Conditions for Global Synchronization in Networks of Heterogeneous Kuramoto Oscillators

Author(s) :

Mercado Uribe, José Ángel [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]
Mendoza-Avila, Jesús [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Schiffer, Johannes [Auteur]
Brandenburg University of Technology [Cottbus – Senftenberg] [BTU]

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2025

ISSN :

0005-1098

English keyword(s) :

Coupled oscillators
Kuramoto model
Synchronization
Complex networks
Nonlinear analysis

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The Kuramoto model is essential for studying synchronization. In this work, we present sufficient conditions for global synchronization in networks of heterogeneous Kuramoto oscillators in the absence of homoclinic and ...
Show more >The Kuramoto model is essential for studying synchronization. In this work, we present sufficient conditions for global synchronization in networks of heterogeneous Kuramoto oscillators in the absence of homoclinic and heteroclinic cycles. The result is established by constructing a suitable Leonov function candidate for the Kuramoto model, which provides sufficient conditions for almost global synchronization in networks with acyclic and meshed topologies. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria, which are satisfied if the conditions for synchronization hold. The implications of the main conditions and their relationship with the network topology and parameters are discussed. Finally, the results are illustrated via a numerical example.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Auto-synchronisation dans les réseaux électriques avec dynamique périodique

Collections :