Optimal Synchronization of Higher-Order Dynamical Networks
Guanrong Chen
Abstract
This article briefly reviews the topic of complex network synchronization, with its graph-theoretic criterion, showing that the homogeneous and symmetrical network structures are essential for optimal synchronization. Furthermore, it briefly reviews the notion of higher-order network topologies and shows their promising potential in application to evaluating the optimality of network synchronizability.
Topics & Concepts
Synchronization (alternating current)Order (exchange)Synchronization networksComputer scienceControl theory (sociology)MathematicsTopology (electrical circuits)EconomicsArtificial intelligenceCombinatoricsFinanceControl (management)Neural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationGene Regulatory Network Analysis