RT Journal Article T1 Quantifying the potentiality for polarization in opinion networks A1 Carballosa Calleja, Alejandro A1 Crego, Álvaro A1 Pérez Muñuzuri, Alberto K1 Opinion formation K1 Complex networks K1 Opinion polarization K1 Turing AB Polarization in debates and social networks is a phenomenon clearly present in modern societies that strongly modifies the way we relate as communities. Regardless of the importance of this phenomenon, there is not a clear explanation yet for its emergence or a suitable parameter to quantify it. Here, we present a methodology based on the Turing instability, a frequent mechanism in Nature which explains differentiation processes, that maps the conditions needed for a given network to undergo polarization of opinions. From this mapping, we measure the likelihood of the system's nodes to differentiate each other or, in other terms, the degree of polarization of the network PB Elsevier SN 0960-0779 YR 2023 FD 2023-06-21 LK http://hdl.handle.net/10347/31186 UL http://hdl.handle.net/10347/31186 LA eng NO Chaos, Solitons & Fractals 173 (2023) 113697 NO We gratefully acknowledge financial support by the Spanish Ministerio de Economía y Competitividad and European Regional Development Fund under contract RTI2018-097063-B-I00 AEI/FEDER, UE, and by Xunta de Galicia under Research Grant No. 2021-PG036. All these programs are co-funded by FEDER (UE). A. Carballosa acknowledges financial support from Xunta de Galicia. The simulations were run in the Supercomputer Center of Galicia (CESGA) and we acknowledge their support DS Minerva RD 6 jun 2026