Thoughts out of noise
Abstract
We study the effects of additive Gaussian noise on the behaviour of a simple spatially extended system, which is locally modelled by a nonlinear two-dimensional iterated map describing neuronal dynamics. In particular, we focus on the ability of noise to induce spatially ordered patterns, i. e. the so-called noise-induced pattern formation. For intermediate noise intensities, the spatially extended system exhibits ordered circular waves, thereby clearly manifesting the constructive role of random perturbations. The emergence of observed noise-induced patterns is explained with simple arguments that are obtained by analysing the typical spatial scale of patterns evoked by various diffusion coefficients. Since discrete-time systems are straightforward to implement and require modest computational capabilities, the present study describes one of the most fascinating and visually compelling examples of noise-induced self-organization in nonlinear systems in an accessible way for graduate or even advanced undergraduate students attending a nonlinear dynamics course.
Keywords
dinamični sistemi;kaotični sistemi;nelinearna dinamika;nelinearna analiza;hrup;intenziteta hrupa;dynamic systems;chaotic systems;nonlinear dynamics;nonlinear systems;noise;nonlinear analyses;
Data
| Language: | English |
|---|---|
| Year of publishing: | 2006 |
| Typology: | 1.01 - Original Scientific Article |
| Organization: | UM PEF - Faculty of Education |
| UDC: | 531.3 |
| COBISS: |
14506760
|
| ISSN: | 0143-0807 |
| Views: | 1174 |
| Downloads: | 28 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary keywords: | dinamični sistemi;kaotični sistemi;nelinearna dinamika;nelinearna analiza;hrup;intenziteta hrupa; |
| URN: | URN:SI:UM: |
| Pages: | str. 451-460 |
| Volume: | ǂVol. ǂ27 |
| Issue: | ǂno. ǂ2 |
| Chronology: | 2006 |
| ID: | 8724187 |
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