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Theory of stochastic resonance for small signals in weakly damped bistable oscillators
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Landa, P. S. (Polina Solomonovna), Khovanov, I. A. and McClintock, P. V. E. (2008) Theory of stochastic resonance for small signals in weakly damped bistable oscillators. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.77 (No.1). Article: 011111. doi:10.1103/PhysRevE.77.011111 ISSN 1539-3755.
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WRAP_KHovanov_0870568-es-121211-ikhovanov08_01.pdf - Accepted Version - Requires a PDF viewer. Download (225Kb) |
Official URL: http://dx.doi.org/10.1103/PhysRevE.77.011111
Abstract
The response of a weakly-damped bistable oscillator to an external periodic force is considered
theoretically. In the approximation of weak signals we can write a linearized equation for the signal
and the corresponding nonlinear equation for the noise. These equations contain two unknown parameters:
an effective stiffness and an additional damping factor. In the case of the weakly-damped
bistable oscillator, considered here, the two-dimensional Fokker–Planck equation corresponding to
the equation for the noise can be solved approximately by changing to a slow variable (“energy”)
and applying a method of successive approximation. This approach allows us to find the unknown
parameters and to calculate the amplitude ratio of the output and input signals, i.e. the gain factor.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
Library of Congress Subject Headings (LCSH): | Oscillations -- Mathematical models | ||||
Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 11 January 2008 | ||||
Dates: |
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Volume: | Vol.77 | ||||
Number: | No.1 | ||||
Number of Pages: | 12 | ||||
Page Range: | Article: 011111 | ||||
DOI: | 10.1103/PhysRevE.77.011111 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 18 December 2015 | ||||
Date of first compliant Open Access: | 18 December 2015 | ||||
Funder: | Royal Society (Great Britain), Engineering and Physical Sciences Research Council (EPSRC) |
Data sourced from Thomson Reuters' Web of Knowledge
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