Two-dimensional master stability function analysis of synchronization in periodic and chaotic networksMoalemi, Tayebeh (Avtor) Barathi, Gopinath (Avtor) Bayani, Atiyeh (Avtor) Rajagopal, Karthikeyan (Avtor) Jafari, Sajad (Avtor) Perc, Matjaž (Avtor) master stability functionsynchronizationtwo-dimensional analysischaotic systemsperiodic systemsHere 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.AIMS Press20262026-03-19 12:31:05Znanstveno delo97561UDK: 53COBISS_ID: 272275459DOI: 10.3934/math.2026269ISSN pri članku: 2473-6988sl