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Mean density of level crossings whose duration exceeds a certain value for a low-friction nonlinear oscillator

A system that exhibits nonlinear oscillations in the presence of low friction and weak fluctuations is considered. An expression for the mean density of level crossings whose duration exceeds a certain value is derived under the assumption of the high Q factor of the oscillations.

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-12, Vol.86 (6 Pt 1), p.061114-061114, Article 061114
Main Author: Kargovsky, A V
Format: Article
Language:English
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Description
Summary:A system that exhibits nonlinear oscillations in the presence of low friction and weak fluctuations is considered. An expression for the mean density of level crossings whose duration exceeds a certain value is derived under the assumption of the high Q factor of the oscillations.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.86.061114