Stability of equilibria of randomly perturbed maps

We derive a sufficient condition for stability in probability of an equilibrium of a randomly perturbed map in \begin{document}$\mathbb{R}^d$\end{document} . 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.

• Publication year

  2015

• Venue

  Discrete and Continuous Dynamical Systems-series B

• Publication date

  2015-03-20

• Fields of study

  Mathematics

• Identifiers
  DOI 10.3934/dcdsb.2017017arXiv 1503.05979
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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