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Bifurcation Analysis of a Stochastically Driven Limit Cycle.
- Source :
-
Communications in Mathematical Physics . Feb2019, Vol. 365 Issue 3, p935-942. 8p. - Publication Year :
- 2019
-
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 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 365
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 134918818
- Full Text :
- https://doi.org/10.1007/s00220-019-03298-7