STABILITY OF EQUILIBRIA OF RANDOMLY PERTURBED MAPS

被引：8
|
作者：
Hitczenko, Pawel [1 ]
Medvedev, Georgi S. [1 ]
机构：
[1] Drexel Univ, Dept Math, 3141 Chestnut St, Philadelphia, PA 19104 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 02期
基金：
美国国家科学基金会;
关键词：
Stochastic difference equation; stochastic stability; stabilization; noise; STOCHASTIC STABILIZATION; DIFFERENCE-EQUATIONS; SYNCHRONIZATION; OSCILLATIONS; PRODUCTS; SYSTEMS; NOISE; SURE;
D O I：
10.3934/dcdsb.2017017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in R-d. This condition can be used to stabilize unstable equilibria by random forcing. Analytical results on stabilization are illustrated with numerical examples of randomly perturbed nonlinear maps in one- and two-dimensional spaces.
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页码：369 / 381
页数：13
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