Noise-induced strong stabilization
Dynamical Systems
2022-06-17 v2 Probability
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.
Cite
@article{arxiv.2009.10573,
title = {Noise-induced strong stabilization},
author = {Matti Leimbach and Jonathan C. Mattingly and Michael Scheutzow},
journal= {arXiv preprint arXiv:2009.10573},
year = {2022}
}
Comments
updated version. Small corrections