Marko Gosak (Author), Matjaž Perc (Author)

Abstract

We show that chaotic states situated in the proximity of periodic windows in bifurcation diagrams are eligible for the observation of coherence resonance. In particular, additive Gaussian noise of appropriate intensity can enhance the temporal order in such chaotic states in a resonant manner. Results obtained for the logistic map and the Lorenz equations suggest that the presented mechanism of coherence resonance is valid beyond particularities of individual systems. We attribute the findings to the increasing attraction of imminent periodic orbits and the ability of noise to anticipate their existence and use a modified wavelet analysis to support our arguments.

Keywords

kaotični sistemi;prostorska resonanca;hrup;nelinearni sistemi;prostorska dinamika;matematični modeli;ne zaključna dela;chaotic systems;spatial resonance;coherence resonance;nonlinear systems;noise;spatial dynamics;mathematical models;bifurcation diagrame;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FNM - Faculty of Natural Sciences and Mathematics
UDC: 53
COBISS: 15576072 Link will open in a new window
ISSN: 1539-3755
Views: 2341
Downloads: 121
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: kaotični sistemi;prostorska resonanca;hrup;nelinearni sistemi;prostorska dinamika;matematični modeli;
URN: URN:SI:UM:
Type (COBISS): Article
Pages: str. 037201-1-037201-4
Volume: 76
Issue: 037201
Chronology: 2007
DOI: 10.1103/PhysRevE.76.037201
ID: 8724124