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Title:Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems
Authors:ID Gosak, Marko (Author)
ID Perc, Matjaž (Author)
Files:URL https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.037201
 
.pdf RAZ_Gosak_Marko_2007.pdf (219,93 KB)
MD5: 58BE55AF88F43550FBA37960B26EDA6F
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
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:chaotic systems, spatial resonance, coherence resonance, nonlinear systems, noise, spatial dynamics, mathematical models, bifurcation diagrame
Publication status:Published
Publication version:Version of Record
Year of publishing:2007
PID:20.500.12556/DKUM-35855 New window
UDC:530.162
ISSN on article:1539-3755
COBISS.SI-ID:15576072 New window
NUK URN:URN:SI:UM:DK:OBZMKXRZ
Publication date in DKUM:07.06.2012
Views:2407
Downloads:143
Metadata:XML DC-XML DC-RDF
Categories:Misc.
:
GOSAK, Marko and PERC, Matjaž, 2007, Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems. Physical review [online]. 2007. [Accessed 17 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=35855
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Record is a part of a journal

Title:Physical review
Shortened title:Phys. rev., E Stat. nonlinear soft matter phys.
Publisher:Published by the American Physical Society through the American Institute of Physics
ISSN:1539-3755
COBISS.SI-ID:1737316 New window

Secondary language

Language:Slovenian
Keywords:kaotični sistemi, prostorska resonanca, hrup, nelinearni sistemi, prostorska dinamika, matematični modeli


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