NOISE-INDUCED STRONG STABILIZATION
Publication
, Journal Article
Leimbach, M; Mattingly, JC; Scheutzow, M
Published in: Pure and Applied Functional Analysis
January 1, 2022
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
Published In
Pure and Applied Functional Analysis
EISSN
2189-3764
ISSN
2189-3756
Publication Date
January 1, 2022
Volume
7
Issue
4
Start / End Page
1383 / 1404
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Leimbach, M., Mattingly, J. C., & Scheutzow, M. (2022). NOISE-INDUCED STRONG STABILIZATION. Pure and Applied Functional Analysis, 7(4), 1383–1404.
Leimbach, M., J. C. Mattingly, and M. Scheutzow. “NOISE-INDUCED STRONG STABILIZATION.” Pure and Applied Functional Analysis 7, no. 4 (January 1, 2022): 1383–1404.
Leimbach M, Mattingly JC, Scheutzow M. NOISE-INDUCED STRONG STABILIZATION. Pure and Applied Functional Analysis. 2022 Jan 1;7(4):1383–404.
Leimbach, M., et al. “NOISE-INDUCED STRONG STABILIZATION.” Pure and Applied Functional Analysis, vol. 7, no. 4, Jan. 2022, pp. 1383–404.
Leimbach M, Mattingly JC, Scheutzow M. NOISE-INDUCED STRONG STABILIZATION. Pure and Applied Functional Analysis. 2022 Jan 1;7(4):1383–1404.
Published In
Pure and Applied Functional Analysis
EISSN
2189-3764
ISSN
2189-3756
Publication Date
January 1, 2022
Volume
7
Issue
4
Start / End Page
1383 / 1404
Related Subject Headings
- 4904 Pure mathematics
- 4901 Applied mathematics