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@article{Cherubini:2017:1361-6544/aa72bd,
author = {Cherubini, AM and Lamb, JSW and Rasmussen, M and Sato, Y},
doi = {1361-6544/aa72bd},
journal = {Nonlinearity},
pages = {2835--2853},
title = {A random dynamical systems perspective on stochastic resonance},
url = {http://dx.doi.org/10.1088/1361-6544/aa72bd},
volume = {30},
year = {2017}
}

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TY  - JOUR
AB  - We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a nonautonomous forcing. We prove the existence of a unique global attracting random periodic orbit and a stationary periodic measure. We use the stationary periodic measure to define an indicator for the stochastic resonance.
AU  - Cherubini,AM
AU  - Lamb,JSW
AU  - Rasmussen,M
AU  - Sato,Y
DO  - 1361-6544/aa72bd
EP  - 2853
PY  - 2017///
SN  - 1361-6544
SP  - 2835
TI  - A random dynamical systems perspective on stochastic resonance
T2  - Nonlinearity
UR  - http://dx.doi.org/10.1088/1361-6544/aa72bd
UR  - http://hdl.handle.net/10044/1/48574
VL  - 30
ER  -

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