A random dynamical systems perspective on stochastic resonance
File(s)SR_february2017.pdf (276.42 KB)
Accepted version
Author(s)
Cherubini, AM
Lamb, JSW
Rasmussen, M
Sato, Y
Type
Journal Article
Abstract
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.
Date Issued
2017-06-07
Date Acceptance
2017-05-12
Citation
Nonlinearity, 2017, 30 (7), pp.2835-2853
ISSN
1361-6544
Publisher
IOP Publishing
Start Page
2835
End Page
2853
Journal / Book Title
Nonlinearity
Volume
30
Issue
7
Copyright Statement
© 2017 IOP Publishing Ltd & London Mathematical Society. This is an author-created, un-copyedited version of an article accepted for publication in Nonlinearity . IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at http://iopscience.iop.org/article/10.1088/1361-6544/aa72bd/meta
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Grant Number
EP/I004165/1
643073
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Physics, Mathematical
Mathematics
Physics
nonautonomous random dynamical systems
stochastic resonance
Markov measures
random attractors
RANDOM PERIODIC-SOLUTIONS
ORDINARY DIFFERENTIAL-EQUATIONS
ATTRACTORS
General Mathematics
0102 Applied Mathematics
Publication Status
Published