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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  
Dates: 


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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