The leader–follower coherence and spectral properties of weighted recursive networks under noise disturbance

Jia-Bao Liu, Meng-Yuan Yu, Guo-Jun Cai and Jinde Cao

Chaos, Solitons & Fractals, 2026, vol. 208, issue P1

Abstract: In this paper, the leader–follower coherence and spectral properties of weighted recursive networks are investigated. Firstly, the analytical solution for leader–follower coherence dynamics is derived, which provides a rigorous theoretical foundation for performance analysis. Secondly, the influence of network structural parameters on coherence behavior is systematically examined. Thirdly, the collaborative capability of the network is characterized by the Kirchhoff index and the global mean first-pass time (GMFPT). These findings unveil the intrinsic coupling between topological design and dynamical performance in weighted recursive networks, which provides theoretical guidance for constructing robust and scalable multi-agent systems.

Keywords: Complex network; Leader–follower coherence; Recursive network; Robustness (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:208:y:2026:i:p1:s0960077926002018

DOI: 10.1016/j.chaos.2026.118060

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