Noise-induced strong stabilization
Publication
, Journal Article
Leimbach, M; Mattingly, JC; Scheutzow, M
September 22, 2020
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.
Duke Scholars
Publication Date
September 22, 2020
Citation
APA
Chicago
ICMJE
MLA
NLM
Leimbach, M., Mattingly, J. C., & Scheutzow, M. (2020). Noise-induced strong stabilization.
Leimbach, Matti, Jonathan C. Mattingly, and Michael Scheutzow. “Noise-induced strong stabilization,” September 22, 2020.
Leimbach M, Mattingly JC, Scheutzow M. Noise-induced strong stabilization. 2020 Sep 22;
Leimbach, Matti, et al. Noise-induced strong stabilization. Sept. 2020.
Leimbach M, Mattingly JC, Scheutzow M. Noise-induced strong stabilization. 2020 Sep 22;
Publication Date
September 22, 2020