Graphop Mean-Field Limits for Kuramoto-Type Models

DOI10.1137/21M1391523zbMath1483.35270arXiv2007.02868OpenAlexW4206297158MaRDI QIDQ5024520

Christian Kuehn, Marios Antonios Gkogkas

Publication date: 26 January 2022

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

Full work available at URL: https://arxiv.org/abs/2007.02868

zbMATH Keywords

Vlasov equationmean-field limito-convergencesummability kernelgraphopsKuramoto model on graphs

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Dynamical systems involving maps of trees and graphs (37E25) Vlasov equations (35Q83) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items

Multi-population phase oscillator networks with higher-order interactions ⋮ Adaptive dynamical networks ⋮ Large population limits of Markov processes on random networks ⋮ Vlasov equations on digraph measures

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