Stabilization and Destabilization by Noise in the Plane
作者:
M. Scheutzow,
期刊:
Stochastic Analysis and Applications
(Taylor Available online 1993)
卷期:
Volume 11,
issue 1
页码: 97-113
ISSN:0736-2994
年代: 1993
DOI:10.1080/07362999308809304
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
We provide two dynamical systems inR2given by an ODE:One which explodes in finite time for every initial condition but becomes stable by adding white noise of arbitrary positive intensity in the sense that the system becomes nonexplosive and even positive recurrent and another system which is globally asymptotically stable and which becomes explosive when it is perturbed by additive white noise
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