Noise-induced strong stabilization
| Autor: | Leimbach, Matti, Mattingly, Jonathan C., Scheutzow, Michael |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: updated version. Small corrections |
| Databáze: | arXiv |
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