ORIGINAL RESEARCH article
Front. Phys.
Sec. Complex Physical Systems
Volume 13 - 2025 | doi: 10.3389/fphy.2025.1562805
First-and second-order network coherence in N-duplication weighted corona networks
Provisionally accepted
- School of Mathematics, Shanghai University of Finance and Economics, Shanghai, China
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This paper studies first-and second-order coherence problems for N-duplication weighted corona networks subject to stochastic disturbances. Explicit expressions of the coherence for first-order (and second-order) dynamics, which are determined by the sum of reciprocal (and square of reciprocal) of each nonzero eigenvalue of Laplacian matrix, are derived. In particular, for both first-and second-order systems, the analytical formulas of the network coherence are presented from two different perspectives. Based on these formulas, the influence of the duplication N, the weight ω and the factor networks G 1 and G 2 on the network coherence of the corona network G 1 • G 2 is investigated. Some noteworthy topological properties of the N-duplication weighted corona network are also revealed.
Keywords: robustness, Network coherence, N-duplication weighted corona network, Laplacian spectrum, Join operation. Nomenclature:, N-duplication Corona product
Received: 18 Jan 2025; Accepted: 13 May 2025.
Copyright: © 2025 Liu. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Chao Liu, School of Mathematics, Shanghai University of Finance and Economics, Shanghai, China
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