20.500.12556/DKUM-93655 Synchronization stability in simplicial complexes of near-identical systems Assessing the stability of synchronization is a fundamental task when studying networks of dynamical systems. However, this becomes challenging when the coupled systems are not exactly identical, as is al ways the case in practical settings. Here we introduce an extension of the Master Stability Function to determine near-synchronization stability within simplicial complexes of nearly identical systems coupled by synchronization-noninvasive functions. We validate our method on a simplicial complex of Lorenz oscillators, f inding a good correspondence between the predicted regions of stability and those observed via direct simula tion. This confirms the correctness of our approach, making it a valuable tool for the evaluation of real-world systems, in which differences between the constitutive elements are unavoidable. chaos collective dynamics coupled oscillators dynamics of networks synchronization chaotic systems dynamical systems networks kaos kolektivna dinamika sklopljeni oscilatorji dinamika omrežij sinhronizacija kaotični sistemi dinamični sistemi omrežja true false true Angleški jezik Slovenski jezik Znanstveno delo 2025-07-10 10:12:38 2025-07-10 10:16:11 2025-07-12 03:06:43 0000-00-00 00:00:00 2025 0 0 8 str. št. 3, št. članka 033039 Letn. 7 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-03-12 2025-06-12 2025-07-08 53 242043907 10.1103/ml7b-r35h 2643-1564 RAZ_Parastesh_Fatemeh_2025.pdf RAZ_Parastesh_Fatemeh_2025.pdf 1 BC34F3D65BCBA9D822DC11E5CA48F864 ebb662f43f2985899b1e97bf0e8260309367525c5887f03441cf8f2c7ac366ca 0257cab2-5d66-11f0-b0f7-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193443 https://doi.org/10.1103/ml7b-r35h 0 14974b75-5d66-11f0-b0f7-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=193444 Fakulteta za naravoslovje in matematiko 0 0 0