Matti Leimbach, Jonathan C. Mattingly, Michael Scheutzow
Published 2020-09-22Version 1
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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