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An optimization method to keep synchronization features when decreasing network nodes

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Abstract

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.

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Authors and Affiliations

  1. Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

    Nafise Naseri, Fatemeh Parastesh & Farnaz Ghassemi

  2. Mathematec Solutions, 3165 Russell Street, Windsor, ON, Canada

    Mahdi Karami

Authors
  1. Nafise Naseri
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  2. Fatemeh Parastesh
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  3. Mahdi Karami
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  4. Farnaz Ghassemi
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Correspondence to Farnaz Ghassemi.

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Naseri, N., Parastesh, F., Karami, M. et al. An optimization method to keep synchronization features when decreasing network nodes. Eur. Phys. J. Spec. Top. 231, 3971–3976 (2022). https://doi.org/10.1140/epjs/s11734-022-00626-2

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