An optimization method to keep synchronization features when decreasing network nodes
Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran
2 Mathematec Solutions, 3165 Russell Street, Windsor, ON, Canada
Accepted: 21 June 2022
Published online: 11 July 2022
Synchronization is one of the substantial network features, which depends on the eigenvalues of the network connectivity matrix. This paper presents an approach based on an optimization algorithm to keep the synchronization pattern when the number of nodes of the network is decreased. The proposed algorithm refines the initially random weights of the reduced connectivity matrix to minimize the mean square error between the eigenvalues of the original and small matrixes. This technique is applied to the network of Lorenz systems with different couplings which have different synchronization patterns. The numerical synchronization error is also computed for the original and small network. It is shown that the smaller network has the same synchronizability as the original one.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022