2017
Том 69
№ 9

All Issues

On Invariant Tori of Itô Stochastic Systems

Samoilenko A. M., Stanzhitskii A. N.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 4, pp 613-628.

Citation Example: Samoilenko A. M., Stanzhitskii A. N. On Invariant Tori of Itô Stochastic Systems // Ukr. Mat. Zh. - 2002. - 54, № 4. - pp. 501-513.

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