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Title:Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems
Authors:Gosak, Marko (Author)
Perc, Matjaž (Author)
Files:URL http://www.perc.biz/pap/pre7.pdf
 
Language:English
Work type:Unknown ()
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
Year of publishing:2007
UDC:530.162
ISSN on article:1539-3755
COBISS_ID:15576072 Link is opened in a new window
NUK URN:URN:SI:UM:DK:OBZMKXRZ
Views:1360
Downloads:63
Metadata:XML RDF-CHPDL DC-XML DC-RDF
Categories:Misc.
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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:English
Keywords:kaotični sistemi, prostorska resonanca, hrup, nelinearni sistemi, prostorska dinamika, matematični modeli


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