Stabilization and Destabilization by Noise in the Plane
Stabilization and Destabilization by Noise in the Plane
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DOI：
10.1080/07362999308809304
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发表时间：
1993
影响因子：
1.3
通讯作者：
M. Scheutzow
中科院分区：
文献类型：
--
作者：
M. Scheutzow
我们在 R 2 中提供了由 ODE 给出的两个动力系统：一个在每个初始条件下在有限时间内爆炸，但通过添加任意正强度的白噪声而变得稳定，即系统变得非爆炸性甚至正循环；另一个系统是全局渐近稳定的，当受到加性白噪声扰动时会变得爆炸性
We provide two dynamical systems in R 2given 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