Matjaž Perc (Author)

Abstract

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.

Keywords

dinamični sistemi;ekscitabilni sistemi;hrup;intenziteta hrupa;prostorska resonanca;inherentna prostorska resonanca;prostorska dekoherenca;ne zaključna dela;dynamic systems;noise;spatiotemporal noise;intensity;spatial resonance;inherent spatial resonance;spatial decoherence;excitable media;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM PEF - Faculty of Education
UDC: 534.83:531.3
COBISS: 14438664 Link will open in a new window
ISSN: 1367-2630
Views: 1381
Downloads: 377
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Other data

Secondary language: Slovenian
Secondary keywords: dinamični sistemi;ekscitabilni sistemi;hrup;intenziteta hrupa;prostorska resonanca;inherentna prostorska resonanca;prostorska dekoherenca;
URN: URN:SI:UM:
Type (COBISS): Article
Pages: str. 1-9
Volume: ǂVol. ǂ7
Issue: 252
Chronology: 2005
DOI: 10.1088/1367-2630/7/1/252
ID: 8724262