20.500.12556/DKUM-97561 Two-dimensional master stability function analysis of synchronization in periodic and chaotic networks Here we used the master stability function (MSF) framework to develop a twodimensional MSF representation that incorporates both real and complex eigenvalues, thereby capturing the dynamics of diagonalizable directed networks. Our analysis shows how synchronization stability depends on complex coupling strengths and reveals conditions under which bounded or unbounded regions of negative MSF arise, corresponding to stable synchronization. This two-dimensional approach unifies periodic and chaotic dynamics within a common framework, offering sharper insights into when and how diagonalizable directed networks can sustain coherent collective behavior. master stability function synchronization two-dimensional analysis chaotic systems periodic systems glavna funkcija stabilnosti sinhronizacija dvodimenzionalna analiza kaotični sistemi periodični sistemi true false true AIMS Press Angleški jezik Slovenski jezik Znanstveno delo 2026-03-19 12:31:05 2026-03-19 12:31:06 2026-03-20 03:10:51 0000-00-00 00:00:00 2026 0 0 str. 6499-6524 št. 3 Letn. 13 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 2026-03-04 2026-03-13 53 272275459 10.3934/math.2026269 2473-6988 RAZ_Moalemi_Tayebeh_2026.pdf RAZ_Moalemi_Tayebeh_2026.pdf 1 188FA370039847C13F6BAB5504848731 0a710f2cb2e2bf41f514b31b944b5b5f9f1c8ad31b55e86f07756695ab09ac30 735d8055-2387-11f1-9193-00155d0001a1 https://dk.um.si/Dokument.php?lang=slv&id=204651 https://www.aimspress.com/article/doi/10.3934/math.2026269 1 1f6ef635-2387-11f1-9193-00155d0001a1 https://dk.um.si/Dokument.php?lang=slv&id=204650 Fakulteta za naravoslovje in matematiko 0 0 0