PreprintCC BY 4.0arXiv
Dynamics-structure interchangeability in binary opinion models on multiplex networks
Abstract
We examine the interchangeability between two duplex systems with opinion dynamics: one characterized by different dynamics parameters a1 and a2 on each layer and full node overlap, and the second with the same parameter a1 on both layers but only partial node overlap r. We introduce a general framework for identifying the critical line between the ordered and disordered phases, thereby translating one system into another. The description is supported by several examples of opinion dynamics models and a rigorous measure of the distance between the stationary solutions of the rate equations in both settings. Our results show that even large values of r are sufficient to obtain very good correspondence between the two settings.
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BibTeX
@misc{sienkiewicz2026dynamicsstructure,
title = {{Dynamics-structure interchangeability in binary opinion models on multiplex networks}},
author = {Julian Sienkiewicz and Anna Chmiel},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28340},
eprint = {2609.28340},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28340},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamics-structure interchangeability in binary opinion models on multiplex networks
AU - Julian Sienkiewicz
AU - Anna Chmiel
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.28340
UR - https://arxiv.org/abs/2609.28340
AB - We examine the interchangeability between two duplex systems with opinion dynamics: one characterized by different dynamics parameters a_1 and a_2 on each layer and full node overlap, and the second with the same parameter a_1 on both layers but only partial node overlap r. We introduce a general framework for identifying the critical line between the ordered and disordered phases, thereby translating one system into another. The description is supported by several examples of opinion dynamics models and a rigorous measure of the distance between the stationary solutions of the rate equations in both settings. Our results show that even large values of r are sufficient to obtain very good correspondence between the two settings.
ER -