20.500.12556/DKUM-93925 Lag synchronization in an unidirectional ring of memristive neurons 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. simplicial complex higher-order network memristive Rulkov synchronization cluster synchronization kompleks višjega reda omrežje višjega reda Rulkov nevron sinhronizacija sinhronizacija skupin true false true Angleški jezik Slovenski jezik Znanstveno delo 2025-07-25 13:56:32 2025-07-25 13:56:32 2025-07-26 03:14:17 0000-00-00 00:00:00 2025 0 0 str. 1011-1022 št. 6 Letn. 234 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-01-22 2025-02-16 2025-02-25 53 243896067 10.1140/epjs/s11734-025-01533-y 1951-6355 RAZ_Vijayan_Vijeesh_2025.pdf RAZ_Vijayan_Vijeesh_2025.pdf 1 86046AF50330862BE3A06E6B9A465E61 05f8ca6c53edbf43bae8a46bdbf055abccd56e245f8ff902eca0e28dc267d504 a3952109-694e-11f0-b339-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=194203 https://doi.org/10.1140/epjs/s11734-025-01533-y 0 ac19f15f-694e-11f0-b339-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=194204 Fakulteta za naravoslovje in matematiko 0 0 0