| Title: | Two-dimensional master stability function analysis of synchronization in periodic and chaotic networks |
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| Authors: | ID Moalemi, Tayebeh (Author)
ID Barathi, Gopinath (Author)
ID Bayani, Atiyeh (Author)
ID Rajagopal, Karthikeyan (Author)
ID Jafari, Sajad (Author)
ID Perc, Matjaž (Author) |
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| Files: |  RAZ_Moalemi_Tayebeh_2026.pdf (2,01 MB)
MD5: 188FA370039847C13F6BAB5504848731
 https://www.aimspress.com/article/doi/10.3934/math.2026269
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | 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. |
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| Keywords: | master stability function, synchronization, two-dimensional analysis, chaotic systems, periodic systems |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 04.03.2026 |
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| Publication date: | 13.03.2026 |
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| Publisher: | AIMS Press |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 6499-6524 |
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| Numbering: | Letn. 13, št. 3 |
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| PID: | 20.500.12556/DKUM-97561  |
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| UDC: | 53 |
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| ISSN on article: | 2473-6988 |
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| COBISS.SI-ID: | 272275459 |
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| DOI: | 10.3934/math.2026269 |
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| Publication date in DKUM: | 19.03.2026 |
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| Views: | 128 |
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| Downloads: | 2 |
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| Metadata: |    |
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| Categories: | Misc.
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