20.500.12556/DKUM-36036 Spatial decoherence induced by small-world connectivity in excitable media We study effects of different network topologies on the noise-induced pattern formation in a two-dimensional model of excitable media with FitzHugh-Nagumo local dynamics. In particular, we show that the introduction of long-range couplings induces decoherence of otherwise coherent noise-induced spatial patterns that can be observed by regular connectivity of spatial units. Importantly, already a small fraction of long-range couplings is sufficient to destroy coherent pattern formation. We argue that the small-world network topology destroys spatial order due to the lack of a precise internal spatial scale, which by regular connectivity is given by the coupling constant and the noise robust excursion time that is characteristic for the local dynamics. Additionally, the importance of spatially versus temporally ordered neural network functioning is discussed. dynamic systems noise spatiotemporal noise intensity spatial resonance inherent spatial resonance spatial decoherence excitable media dinamični sistemi ekscitabilni sistemi hrup intenziteta hrupa prostorska resonanca inherentna prostorska resonanca prostorska dekoherenca true true true Angleški jezik Slovenski jezik Članek v reviji 2012-06-07 12:47:20 2012-06-07 12:47:21 2024-02-20 09:33:48 2021-04-15 03:36:56 2005 0 0 str. 1-10 Letn. 7 2005 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1367-2630 534.83:531.3 21135621 14438664 10.1088/1367-2630/7/1/252 1367-2630 URN:SI:UM:DK:JAJMLSKS New_Journal_of_Physics_2005_Perc_Spatial_decoherence_induced_by_small-world_connectivity_in_excitable_media.pdf New_Journal_of_Physics_2005_Perc_Spatial_decoherence_induced_by_small-world_connectivity_in_excitable_media.pdf 1 073876646F26CC54F972F6EABD942C6E 0aa9c6e63950233a9f18cbce10132c89ecaa61dac315e8cab62bad9e62516a60 55c9d4c7-7c0e-11eb-bb7a-00155d0001ca 20.500.12556/dkum/46764aed-17c3-40bf-8118-763ebc5c0a4f https://dk.um.si/Dokument.php?lang=slv&id=113462 http://stacks.iop.org/1367-2630/7/i=1/a=252?key=crossref.7e5a966ae16e2b4bbb72c30bc14474d4 1 https://dk.um.si/Dokument.php?lang=slv&id=47078 Pedagoška fakulteta 0 0 0