| Title: | Proximity to periodic windows in bifurcation diagrams as a gateway to coherence resonance in chaotic systems |
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| Authors: | ID Gosak, Marko (Author)
ID Perc, Matjaž (Author) |
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| Files: |  https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.037201
 RAZ_Gosak_Marko_2007.pdf (219,93 KB)
MD5: 58BE55AF88F43550FBA37960B26EDA6F
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| 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. |
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| Keywords: | chaotic systems, spatial resonance, coherence resonance, nonlinear systems, noise, spatial dynamics, mathematical models, bifurcation diagrame |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2007 |
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| PID: | 20.500.12556/DKUM-35855  |
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| UDC: | 530.162 |
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| ISSN on article: | 1539-3755 |
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| COBISS.SI-ID: | 15576072 |
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| NUK URN: | URN:SI:UM:DK:OBZMKXRZ |
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| Publication date in DKUM: | 07.06.2012 |
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| Views: | 2600 |
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| Downloads: | 158 |
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| Metadata: |    |
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| Categories: | Misc.
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