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- W2540436905 abstract "D. Herzog and J. Mattingly have shown that a C-valued polynomial ODE with finite-time blow-up solutions may be stabilized by the addition of C-valued Brownian noise. In this paper, we extend their results to C-valued systems 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 systems of SDEs are ergodic. For one of the systems, the proof uses the Girsanov theorem to induce a time change from that C-system to a quasi-C-system similar to the one studied by Herzog and Mattingly. Stabilization by Noise of Systems of Complex-valued ODEs" @default.
- W2540436905 created "2016-11-04" @default.
- W2540436905 creator A5051965825 @default.
- W2540436905 date "2016-01-01" @default.
- W2540436905 modified "2023-09-27" @default.
- W2540436905 title "Stabilization by Noise of Systems of Complex-Valued ODEs" @default.
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- W2540436905 hasPublicationYear "2016" @default.
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