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Naslov:Effects of small-world connectivity on noise-induced temporal and spatial order in neural media
Avtorji:Perc, Matjaž (Avtor)
Datoteke:URL http://www.elsevier.com/locate/chaos
 
Jezik:Angleški jezik
Vrsta gradiva:Neznano ()
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FNM - Fakulteta za naravoslovje in matematiko
Opis:We present an overview of possible effects of small-world connectivity on noise-induced temporal and spatial order in a two-dimensional network of excitable neural media with FitzHugh-Nagumo local dynamics. Small-world networks are characterized by a given fraction of so-called long-range couplings or shortcut links that connect distant units of the system, while all other units are coupled in a diffusive-like manner. Interestingly, already a small fraction of these long-range couplings can have wide-ranging effects on the temporal as well as spatial noise-induced dynamics of the system. Here we present two main effects. First, we show that the temporal order, characterized by the autocorrelation of a firing-rate function, can be greatly enhanced by the introduction of small-world connectivity, whereby the effect increases with the increasing fraction of introduced shortcut links. Second, we show that the introduction of long-range couplings induces disorderof otherwise ordered, spiral-wave-like, noise-induced patterns that can be observed by exclusive diffusive connectivity of spatial units. Thereby, already a small fraction of shortcut links is sufficient to destroy coherent pattern formation in the media. Although the two results seem contradictive, we provide an explanation considering the inherent scale-free nature of small-world networks, which on one hand, facilitates signal transduction and thus temporal order in the system, whilst on the other hand, disrupts the internal spatial scale of the media thereby hindering the existence of coherent wave-like patterns. Additionally, the importance of spatially versus temporally ordered neural network functioning is discussed.
Ključne besede:physics, complex systems, dynamical systems, noise, chaos, chaotic systems, chaos control, resonance
Leto izida:2006
UDK:530.16
COBISS_ID:14819592 Povezava se odpre v novem oknu
ISSN pri članku:0960-0779
NUK URN:URN:SI:UM:DK:OQ3LOOMZ
Število ogledov:1031
Število prenosov:45
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
Področja:Ostalo
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Gradivo je del revije

Naslov:Chaos, solitons and fractals
Založnik:Pergamon
COBISS.SI-ID:170011 Novo okno

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:fizika, kompleksni sistemi, dinamični sistemi, hrup, kaos, kaotični sistemi, resonanca, matematični modeli


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