Source:http://linkedlifedata.com/resource/pubmed/id/12636473
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
1 Pt 1
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| pubmed:dateCreated |
2003-3-14
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| pubmed:abstractText |
We investigate the statistical behavior of Lévy flights confined in a symmetric, quartic potential well U(x) proportional, variant x(4). At stationarity, the probability density function features a distinct bimodal shape and decays with power-law tails which are steep enough to give rise to a finite variance, in contrast to free Lévy flights. From a delta-initial condition, a bifurcation of the unimodal state is observed at t(c)>0. The nonlinear oscillator with potential U(x)=ax(2)/2+bx(4)/4, a,b>0, shows a crossover from unimodal to bimodal behavior at stationarity, depending on the ratio a/b.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Jan
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| pubmed:issn |
1539-3755
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| pubmed:author | |
| pubmed:issnType |
Print
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| pubmed:volume |
67
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
010102
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| pubmed:dateRevised |
2003-11-4
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| pubmed:year |
2003
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| pubmed:articleTitle |
Bifurcation, bimodality, and finite variance in confined Lévy flights.
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| pubmed:affiliation |
Institute for Theoretical Physics NSC KIPT, Akademicheskaya Street 1, 61108 Kharkov, Ukraine.
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| pubmed:publicationType |
Journal Article
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