Threefold way to the dimension reduction of dynamics on networks: An application to synchronization
Vincent Thibeault, Guillaume St-Onge, Louis J. Dubé, Patrick Desrosiers
Abstract
This paper introduces a dynamics approximate reduction technique to provide low-dimensional representations of dynamics on complex networks, and use it to predict synchronization phenomena emerging from oscillator dynamics.
Topics & Concepts
Synchronization (alternating current)Dynamics (music)Reduction (mathematics)Dimension (graph theory)Control theory (sociology)Computer scienceMathematicsStability (learning theory)Dimensionality reductionComplex dynamicsSystem dynamicsTopology (electrical circuits)Applied mathematicsAlgorithmStatistical physicsNonlinear Dynamics and Pattern FormationNeural Networks Stability and SynchronizationOpinion Dynamics and Social Influence