Home > Research > Publications & Outputs > Theory of stochastic resonance for small signal...

Research

Associated organisational unit

Electronic data

Links

Text available via DOI:

Keywords

View graph of relations

Theory of stochastic resonance for small signals in weakly damped bistable oscillators.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Theory of stochastic resonance for small signals in weakly damped bistable oscillators. / Landa, P. S.; Khovanov, I. A.; McClintock, Peter V. E.
In: Physical Review E, Vol. 77, No. 1, 011111, 2008.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Landa, PS, Khovanov, IA & McClintock, PVE 2008, 'Theory of stochastic resonance for small signals in weakly damped bistable oscillators.', Physical Review E, vol. 77, no. 1, 011111. https://doi.org/10.1103/PhysRevE.77.011111

APA

Landa, P. S., Khovanov, I. A., & McClintock, P. V. E. (2008). Theory of stochastic resonance for small signals in weakly damped bistable oscillators. Physical Review E, 77(1), Article 011111. https://doi.org/10.1103/PhysRevE.77.011111

Vancouver

Landa PS, Khovanov IA, McClintock PVE. Theory of stochastic resonance for small signals in weakly damped bistable oscillators. Physical Review E. 2008;77(1):011111. doi: 10.1103/PhysRevE.77.011111

Author

Landa, P. S. ; Khovanov, I. A. ; McClintock, Peter V. E. / Theory of stochastic resonance for small signals in weakly damped bistable oscillators. In: Physical Review E. 2008 ; Vol. 77, No. 1.

Bibtex

@article{b5406d1fe28340b794a49c121f444beb,
title = "Theory of stochastic resonance for small signals in weakly damped bistable oscillators.",
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.",
keywords = "Fokker-Planck equation, noise, nonlinear equations, stochastic processes",
author = "Landa, {P. S.} and Khovanov, {I. A.} and McClintock, {Peter V. E.}",
year = "2008",
doi = "10.1103/PhysRevE.77.011111",
language = "English",
volume = "77",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Theory of stochastic resonance for small signals in weakly damped bistable oscillators.

AU - Landa, P. S.

AU - Khovanov, I. A.

AU - McClintock, Peter V. E.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Fokker-Planck equation

KW - noise

KW - nonlinear equations

KW - stochastic processes

UR - http://www.scopus.com/inward/record.url?scp=40749143613&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.77.011111

DO - 10.1103/PhysRevE.77.011111

M3 - Journal article

VL - 77

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 011111

ER -