Mean-field and graph limits for collective dynamics models with time-varying weights

DOI10.1016/j.jde.2021.07.010zbMath1472.34084arXiv2012.08807OpenAlexW3186491528MaRDI QIDQ2045843

Nathalie Ayi, Nastassia Pouradier Duteil

Publication date: 16 August 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08807

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (11)

Mean-field limit of collective dynamics with time-varying weights ⋮ Kinetic equations for processes on co-evolving networks ⋮ Exponential Convergence Towards Consensus for Non-Symmetric Linear First-Order Systems in Finite and Infinite Dimensions ⋮ Continuum limit of p-Laplacian evolution problems on graphs: L^q graphons and sparse graphs ⋮ Control of multi-agent systems: results, open problems, and applications ⋮ Adaptive dynamical networks ⋮ On evolving network models and their influence on opinion formation ⋮ Large population limits of Markov processes on random networks ⋮ Consensus formation in first-order graphon models with time-varying topologies ⋮ Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights ⋮ Control of collective dynamics with time-varying weights

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