| Title: | Synchronization stability in simplicial complexes of near-identical systems |
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| Authors: | ID Parastesh, Fatemeh (Author)
ID Mehrabbeik, Mahtab (Author)
ID Rajagopal, Karthikeyan (Author)
ID Jafari, Sajad (Author)
ID Perc, Matjaž (Author)
ID Genio, Charo I. del (Author)
ID Boccaletti, Stefano (Author) |
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| Files: |  RAZ_Parastesh_Fatemeh_2025.pdf (2,72 MB)
MD5: BC34F3D65BCBA9D822DC11E5CA48F864
 https://doi.org/10.1103/ml7b-r35h
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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: | 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. |
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| Keywords: | chaos, collective dynamics, coupled oscillators, dynamics of networks, synchronization, chaotic systems, dynamical systems, networks |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 12.03.2025 |
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| Article acceptance date: | 12.06.2025 |
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| Publication date: | 08.07.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 8 str. |
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| Numbering: | Letn. 7, št. 3, št. članka 033039 |
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| PID: | 20.500.12556/DKUM-93655  |
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| UDC: | 53 |
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| ISSN on article: | 2643-1564 |
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| COBISS.SI-ID: | 242043907 |
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| DOI: | 10.1103/ml7b-r35h |
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| Publication date in DKUM: | 10.07.2025 |
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| Views: | 163 |
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| Downloads: | 13 |
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| Metadata: |    |
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| Categories: | Misc.
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