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- W3104875010 abstract "D. Herzog and J. Mattingly have shown that a [Formula: see text]-valued polynomial ODE with finite-time blow-up solutions may be stabilized by the addition of [Formula: see text]-valued Brownian noise. In this paper, we extend their results to a [Formula: see text]-valued system of coupled ODEs with finite-time blow-up solutions. We show analytically and numerically that stabilization can be achieved in our setting by adding a suitable Brownian noise, and that the resulting system of SDEs is ergodic. The proof uses the Girsanov theorem to induce a time change from our [Formula: see text]-system to a quasi-[Formula: see text]-system similar to the one studied by Herzog and Mattingly." @default.
- W3104875010 created "2020-11-23" @default.
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- W3104875010 date "2017-08-13" @default.
- W3104875010 modified "2023-10-14" @default.
- W3104875010 title "Stabilization by noise of a ℂ2-valued coupled system" @default.
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- W3104875010 doi "https://doi.org/10.1142/s0219493717500460" @default.
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