Opinion dynamics on a general compact Riemannian manifold

DOI10.3934/nhm.2017021zbMath1415.91233OpenAlexW2753897203MaRDI QIDQ1680948

Sean T. McQuade, Aylin Aydoğdu, Nastassia Pouradier Duteil

Publication date: 17 November 2017

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2017021

zbMATH Keywords

multiagent systemsconsensusopinion formationsocial choreography

Mathematics Subject Classification ID

Social networks; opinion dynamics (91D30) Manifolds of metrics (especially Riemannian) (58D17)

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Uses Software

• Loki

Cites Work

• Unnamed Item
• A nonlinear model of opinion formation on the sphere
• Collective synchronization of classical and quantum oscillators
• Effects of anisotropic interactions on the structure of animal groups
• Synchronization and balancing on the \(N\)-torus
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Heterophilious Dynamics Enhances Consensus
• Braids in classical dynamics
• Stabilization of Planar Collective Motion With Limited Communication
• Coordinated Motion Design on Lie Groups
• Emergent Behavior of a Cucker-Smale Type Particle Model With Nonlinear Velocity Couplings
• Synchronization in complex oscillator networks and smart grids
• Emergent behaviors of a holonomic particle system on a sphere
• Consensus Optimization on Manifolds
• Stabilization of Planar Collective Motion: All-to-All Communication