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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. ISSN 15393755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.77.011111
Abstract
The response of a weaklydamped 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 weaklydamped
bistable oscillator, considered here, the twodimensional 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 

Subjects:  Q Science > QC Physics T Technology > TA Engineering (General). Civil engineering (General) 
Divisions:  Faculty of Science > 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:  15393755 
Official Date:  11 January 2008 
Volume:  Vol.77 
Number:  No.1 
Number of Pages:  12 
Page Range:  Article: 011111 
Identification Number:  10.1103/PhysRevE.77.011111 
Status:  Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Restricted or Subscription Access 
Funder:  Royal Society (Great Britain), Engineering and Physical Sciences Research Council (EPSRC) 
References:  [1] R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A: Math. 
URI:  http://wrap.warwick.ac.uk/id/eprint/40479 
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