Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.2, pp.175

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.2, pp.175 - 184

Stabilization of the Multi-element System Response to the Avalanche-like Perturbation due to the Assortativity of the Inter-element Interaction Network

N. E. Savitskaya and T. A. Fedorova

We consider a multi-element system in which an avalanche-like change in the threshold characteristics of the elements (stresses) leads to a change in their binary states (opinions). A change in the system-averaged opinion caused by an avalanche is considered as a system response. To model the system dynamics, we use a modified noisy voter model on a timevarying scale-free network. It is shown analytically and numerically that increasing network assortativity leads to a disordering of the system dynamics. For systems of finite size, the dynamics changes from switching between consensuses to a state where opposing opinions coexist and the system average opinion is close to zero. At the same time, increasing assortativity stabilizes the system response. This stabilization manifests itself in a decrease in both the maximum value of the response magnitude.

Key words: opinion dynamics, voter model, activity-driven networks, sandpile model

DOI: https://doi.org/10.5281/zenodo.15745884

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