Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 365, Issue 3, Pages 935-942Publisher
SPRINGER
DOI: 10.1007/s00220-019-03298-7
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Funding
- Roth Scholarship from Department of Mathematics at Imperial College London
- German Research Foundation (DFG) [SFB Transregio 109]
- Nizhny Novgorod University [RNF 14-41-00044]
- EPSRC [EP/I004165/1]
- EU [FP7-PEOPLE-2012-IRSES 318999 BREUDS, H2020-MSCA-2014-ITN643073 CRITICS]
- EPSRC [EP/I004165/1] Funding Source: UKRI
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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 Lin and Young (Nonlinearity 21:899-922, 2008) and Young (Nonlinearity 21:245-252, 2008), extending results by Wang and Young (Commun Math Phys 240(3):509-529, 2003) on periodically kicked limit cycles to the stochastic context.
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