NOISE-INDUCED STRONG STABILIZATION
| dc.contributor.author | Leimbach, M | |
| dc.contributor.author | Mattingly, JC | |
| dc.contributor.author | Scheutzow, M | |
| dc.date.accessioned | 2025-01-01T23:12:36Z | |
| dc.date.available | 2025-01-01T23:12:36Z | |
| dc.date.issued | 2022-01-01 | |
| dc.description.abstract | We consider a 2-dimensional stochastic differential equation in polar coordinates depending on several parameters. We show that if these parameters belong to a specific regime then the deterministic system explodes in finite time, but the random dynamical system corresponding to the stochastic equation is not only strongly complete but even admits a random attractor. | |
| dc.identifier.issn | 2189-3756 | |
| dc.identifier.issn | 2189-3764 | |
| dc.identifier.uri | ||
| dc.relation.ispartof | Pure and Applied Functional Analysis | |
| dc.rights.uri | ||
| dc.title | NOISE-INDUCED STRONG STABILIZATION | |
| dc.type | Journal article | |
| duke.contributor.orcid | Mattingly, JC|0000-0002-1819-729X | |
| pubs.begin-page | 1383 | |
| pubs.end-page | 1404 | |
| pubs.issue | 4 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Statistical Science | |
| pubs.publication-status | Published | |
| pubs.volume | 7 |
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