On Invariant Tori of Itô Stochastic Systems

Authors

  • A. M. Samoilenko
  • A. N. Stanzhitskii

Abstract

By using the Green–Samoilenko function, we establish conditions for the existence of invariant sets of Itô stochastic systems that are extensions of dynamical systems on a torus.

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Published

25.04.2002

Issue

Vol. 54 No. 4 (2002)

Section

Research articles

How to Cite

Samoilenko, A. M., and A. N. Stanzhitskii. “On Invariant Tori of Itô Stochastic Systems”. Ukrains’kyi Matematychnyi Zhurnal, vol. 54, no. 4, Apr. 2002, pp. 501-13, https://umj.imath.kiev.ua/index.php/umj/article/view/4088.