Emergence and Control of Synchronization in Networks with Directed Many-Body Interactions
Fabio Della Rossa, Davide Liuzza, Francesco Lo Iudice, Pietro De Lellis
Abstract
The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or induced synchronous behavior? Inspired by actuation and measurement constraints typical of physical and engineered systems, we propose a diffusion mechanism over hypergraphs that explains the onset of synchronization through a clarifying analogy with signed graphs. Our findings are mathematically backed by general conditions for convergence to the synchronous state.
Topics & Concepts
Pairwise comparisonSynchronization (alternating current)AnalogyConvergence (economics)Coupling (piping)Computer scienceMechanism (biology)Statistical physicsDiffusionPhysicsTopology (electrical circuits)MathematicsArtificial intelligenceQuantum mechanicsCombinatoricsEconomicsLinguisticsEngineeringPhilosophyMechanical engineeringEconomic growthNonlinear Dynamics and Pattern FormationAdvanced Thermodynamics and Statistical MechanicsSlime Mold and Myxomycetes Research