Bifurcation analysis of a stochastically driven limit cycle
File(s)third_revision_for_resubmission.pdf (360.82 KB)
Accepted version
Author(s)
Engel, Maximilian
Lamb, Jeroen
Rasmussen, Martin
Type
Journal Article
Abstract
We establish the existence of a bifurcation from an attractive random equilibrium to shear-induced
chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent.
This relates to an open problem posed by Kevin Lin and Lai-Sang Young in [11, 16], extending results
by Qiudong Wang and Lai-Sang Young [14] on periodically kicked limit cycles to the stochastic context.
chaos for a stochastically driven limit cycle, indicated by a change of sign of the first Lyapunov exponent.
This relates to an open problem posed by Kevin Lin and Lai-Sang Young in [11, 16], extending results
by Qiudong Wang and Lai-Sang Young [14] on periodically kicked limit cycles to the stochastic context.
Date Issued
2019-02-07
Date Acceptance
2018-10-11
Citation
Communications in Mathematical Physics, 2019, 365 (3), pp.935-942
ISSN
0010-3616
Publisher
Springer Verlag
Start Page
935
End Page
942
Journal / Book Title
Communications in Mathematical Physics
Volume
365
Issue
3
Copyright Statement
© Springer-Verlag GmbH Germany, part of Springer Nature 2019. The final publication is available at Springer via https://doi.org/10.1007/s00220-019-03298-7
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Commission of the European Communities
Grant Number
EP/I004165/1
643073
318999
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
math.DS
math.DS
37D45, 37G35, 37H10, 37H15
Mathematical Physics
0101 Pure Mathematics
0105 Mathematical Physics
0206 Quantum Physics
Publication Status
Published
Date Publish Online
2019-01-31