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Stability of equilibria of randomly perturbed maps
arXiv.org, v 22(2), pp 369-381
06 May 2016
Abstract
We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in \({\mathbb R}^d\). This condition can be used to stabilize weakly unstable equilibria by random forcing. Analytical results on stabilization are illustrated with numerical examples of randomly perturbed linear and nonlinear maps in one- and two-dimensional spaces.
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8 citations in Scopus
Details
- Title
- Stability of equilibria of randomly perturbed maps
- Creators
- Pawel HitczenkoGeorgi Medvedev - Drexel UniversityDepartment of Mathematics, Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104, USA
- Publication Details
- arXiv.org, v 22(2), pp 369-381
- Publisher
- Cornell University Library, arXiv.org; Ithaca
- Resource Type
- Other
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000390100100006
- Scopus ID
- 2-s2.0-85011887054
- Other Identifier
- 991019167747304721
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- Web of Science research areas
- Mathematics, Applied