Multiorder Laplacian for synchronization in higher-order networks
Maxime Lucas, Giulia Cencetti, Federico Battiston
Abstract
The authors introduce an analytical framework to compute the stability of synchronization in populations of phase oscillators with higher-order interactions up to any order, and arbitrary complex topology.
Topics & Concepts
Synchronization (alternating current)Stability (learning theory)Computer scienceTopology (electrical circuits)Synchronization networksMathematicsLaplace operatorPhase (matter)AlgorithmControl theory (sociology)Phase synchronizationLaplacian matrixComplex networkTheoretical computer scienceKey (lock)Scheme (mathematics)Coupling (piping)Neural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationNeural dynamics and brain function