Selection of simplexes in pinning control of higher-order networks
With the development of network science,simple networks have their limitations to capture interactions among multiple individuals.Therefore,it is significant to focus on the development of higher-order networks.Simplexes above 2 orders play a key role in higher-order networks,which can describe the network characteristics.In higher-order networks,pinning control is crucial as synchronization can only be attained by pinning certain simplexes.However,selecting proper simplexes for pinning control is a challenging and novel problem.The paper introduces an adaptive pinning control law designed to attain synchronization and a method for selecting suitable simplexes in higher-order networks.This method relies on the unit eigenvector component corresponding to the second smallest eigenvalue of the generalized Laplacian matrix associated with network topology.The results of the pinning control are consistent with that of selecting simplexes,and numerical simulations show the simplicity and effectiveness of this approach.
NETL
NSTL
万方数据
