On Invariant Tori of Itô Stochastic Systems
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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- 1.O. M. Stanzhyts'kyi, “Investigation of stability of invariant sets using local coordinates,” Nelin. Kolyvannya, 3, No. 2, 266–270 (2000).Google Scholar
- 2.I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1982).Google Scholar
- 3.A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).Google Scholar
- 4.E. F. Tsar'kov, Random Perturbations of Functional Differential Equations [in Russian], Zinatne, Riga (1989).Google Scholar
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