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Hauptverfasser: Mohammadi, S. Arab, Jafari, H., Kargaran, A., Hosseiny, A., Jafari, G. Reza
Format: Preprint
Veröffentlicht: 2026
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2605.06816
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author Mohammadi, S. Arab
Jafari, H.
Kargaran, A.
Hosseiny, A.
Jafari, G. Reza
author_facet Mohammadi, S. Arab
Jafari, H.
Kargaran, A.
Hosseiny, A.
Jafari, G. Reza
contents Societies are quintessential open systems, shaped by internal dynamics as well as external influences. The question is how these external influences alter the collective behavior and network dynamics. To answer this, we investigate coevolutionary balance dynamics in a system of independent and open networks. Here, the system consists of two interacting networks with directed (asymmetric) coupling: an independent network evolving autonomously and an open (dependent) network whose dynamics are influenced by the former. Using a mean-field framework, we demonstrate a transition temperature: below the transition temperature, the independent network reaches a state of structural balance, while the open network is destabilized by persistent imbalance states and enters a sustained imbalance phase. This coupling also induces a measurable upward shift in the transition temperature. Direct numerical simulations robustly confirm these analytical predictions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_06816
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Persistent Imbalance in Open Networks with Coevolutionary dynamics
Mohammadi, S. Arab
Jafari, H.
Kargaran, A.
Hosseiny, A.
Jafari, G. Reza
Physics and Society
Societies are quintessential open systems, shaped by internal dynamics as well as external influences. The question is how these external influences alter the collective behavior and network dynamics. To answer this, we investigate coevolutionary balance dynamics in a system of independent and open networks. Here, the system consists of two interacting networks with directed (asymmetric) coupling: an independent network evolving autonomously and an open (dependent) network whose dynamics are influenced by the former. Using a mean-field framework, we demonstrate a transition temperature: below the transition temperature, the independent network reaches a state of structural balance, while the open network is destabilized by persistent imbalance states and enters a sustained imbalance phase. This coupling also induces a measurable upward shift in the transition temperature. Direct numerical simulations robustly confirm these analytical predictions.
title Persistent Imbalance in Open Networks with Coevolutionary dynamics
topic Physics and Society
url https://arxiv.org/abs/2605.06816