| Title: | Lag synchronization in an unidirectional ring of memristive neurons |
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| Authors: | ID Vijayan, Vijeesh (Author)
ID Natiq, Hayder (Author)
ID Momani, Shaher (Author)
ID Pham, Viet-Thanh (Author)
ID Perc, Matjaž (Author) |
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| Files: |  RAZ_Vijayan_Vijeesh_2025.pdf (2,81 MB)
MD5: 86046AF50330862BE3A06E6B9A465E61
 https://doi.org/10.1140/epjs/s11734-025-01533-y
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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: | In recent years, the study of neuronal models has provided significant insights into brain dynamics and neurological disorders. Map-based neuronal models, such as the Rulkov map, have gained considerable popularity due to their computational efficiency and ability to replicate complex neuronal dynamics. We thus here study the collective dynamics of an unidirectional ring network composed of three memristive Rulkov maps, with particular emphasis on synchronization patterns and their dependence on coupling types. By employing electrical and memristive/field couplings, we analyze the emergence of complete synchronization, lag synchronization, and phase synchronization under varying coupling strengths. Our f indings highlight how diffusive-based synaptic pathways modulate synchronization and collective behavior in the network. The presented results also offer new perspectives on the role of coupling functions in shaping neuronal synchronization, and they reveal their deeper implications for understanding pathological brain states and for designing neuromorphic systems. |
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| Keywords: | simplicial complex, higher-order network, memristive Rulkov, synchronization, cluster synchronization |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 22.01.2025 |
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| Article acceptance date: | 16.02.2025 |
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| Publication date: | 25.02.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 1011-1022 |
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| Numbering: | Letn. 234, št. 6 |
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| PID: | 20.500.12556/DKUM-93925  |
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| UDC: | 53 |
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| ISSN on article: | 1951-6355 |
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| COBISS.SI-ID: | 243896067 |
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| DOI: | 10.1140/epjs/s11734-025-01533-y |
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| Publication date in DKUM: | 25.07.2025 |
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| Views: | 157 |
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| Downloads: | 6 |
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| Metadata: |    |
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| Categories: | Misc.
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