Math @ Duke
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Publications [#380325] of Jonathan C. Mattingly
search arxiv.org.Papers Published
- Leimbach, M; Mattingly, JC; Scheutzow, M, NOISE-INDUCED STRONG STABILIZATION,
Pure and Applied Functional Analysis, vol. 7 no. 4
(January, 2022),
pp. 1383-1404
(last updated on 2025/06/15)
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.
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