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 1539-3755

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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
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:	1539-3755
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)
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URI:	http://wrap.warwick.ac.uk/id/eprint/40479

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