Duke Applied Mathematics

Publications [#380325] of Jonathan C. Mattingly

Papers Published

1. 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 2026/01/20)

   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.