First- and second-order network coherence in N-duplication weighted corona networks
Year: 2025
Type: article
Abstract: 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 the reciprocal (and square of reciprocal) of each nonzero eigenvalue of the 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 G1 and G2 on the network coherence of the corona network G1◦G2 is investigated. Some noteworthy topological properties of the N -duplication weighted corona network are also revealed.
Source: Frontiers in Physics
Author: Chao Liu
Institution: Shanghai University of Finance and Economics
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,077
OpenAlex ID: W4411501922